24:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Composición de funciones y funciones inversas:@0.115891:0.141978:0.808686:0.141978:0.808686:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M. 5.1.23. Reconocer funciones inyectivas, sobreyectivas y biyectivas para calcular la función inversa (de funciones biyectivas) comprobando con la composición :@0.125388:0.066256:0.877769:0.066256:0.877769:0.055827:0.125388:0.055827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de funciones. :@0.125388:0.076817:0.190352:0.076817:0.190352:0.066388:0.125388:0.066388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.24. Resolver y plantear aplicaciones de la composición de funciones reales en problemas reales o hipotéticos.:@0.125388:0.087379:0.659623:0.087379:0.659623:0.076949:0.125388:0.076949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.054104:0.122645:0.076408:0.122645:0.076408:0.065614:0.054104:0.065614:0.000000
Funciones:@0.457150:0.170223:0.538103:0.170223:0.538103:0.153323:0.457150:0.153323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Composición de funciones:@0.122468:0.196390:0.332395:0.196390:0.332395:0.179490:0.122468:0.179490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dadas dos funciones, podemos  •  Para tres conjuntos no vacíos: A, B, C.:@0.122468:0.220109:0.662464:0.219550:0.662464:0.203161:0.122468:0.203720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
combinarlas  de  tal manera  que :@0.122468:0.236706:0.370071:0.236706:0.370071:0.220317:0.122468:0.220317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las salidas de una función se con-:@0.122468:0.253302:0.366035:0.253302:0.366035:0.236913:0.122468:0.236913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
viertan en las entradas de otra. :@0.122468:0.269899:0.370098:0.269899:0.370098:0.253510:0.122468:0.253510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta acción define una función :@0.122468:0.286495:0.370043:0.286495:0.370043:0.270106:0.122468:0.270106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compuesta o composición de :@0.122468:0.303091:0.370043:0.303091:0.370043:0.286702:0.122468:0.286702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones.:@0.122468:0.319688:0.197521:0.319688:0.197521:0.303299:0.122468:0.303299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se define: :@0.379423:0.195823:0.454976:0.195823:0.454976:0.179434:0.379423:0.179434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.539220:0.201745:0.545357:0.201745:0.545357:0.174960:0.539220:0.174960:0.000000
):@0.602667:0.201745:0.608803:0.201745:0.608803:0.174960:0.602667:0.174960:0.000000
(:@0.556705:0.200246:0.562841:0.200246:0.562841:0.176887:0.556705:0.176887:0.000000
):@0.596232:0.200246:0.602368:0.200246:0.602368:0.176887:0.596232:0.176887:0.000000
(:@0.457185:0.198754:0.463322:0.198754:0.463322:0.178353:0.457185:0.178353:0.000000
)():@0.493156:0.198754:0.523580:0.198754:0.523580:0.178353:0.493156:0.178353:0.000000:0.000000:0.000000
():@0.571934:0.198754:0.595927:0.198754:0.595927:0.178353:0.571934:0.178353:0.000000:0.000000
=:@0.526237:0.196882:0.536354:0.196882:0.536354:0.181309:0.526237:0.181309:0.000000
:@0.475717:0.197076:0.483088:0.197076:0.483088:0.180327:0.475717:0.180327:0.000000
gf:@0.464776:0.196204:0.489469:0.196204:0.489469:0.179843:0.464776:0.179843:0.000000:0.000000
x:@0.507915:0.196204:0.515378:0.196204:0.515378:0.179843:0.507915:0.179843:0.000000
g fx:@0.546816:0.196204:0.587725:0.196204:0.587725:0.179843:0.546816:0.179843:0.000000:0.000000:0.000000:0.000000
•  Donde   es la función de A en B.:@0.379438:0.243269:0.627361:0.243269:0.627361:0.226880:0.379438:0.226880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.449223:0.243269:0.453922:0.243269:0.453922:0.226908:0.449223:0.226908:0.000000
•  Donde   es la función de B en C.:@0.379438:0.266988:0.631859:0.266988:0.631859:0.250599:0.379438:0.250599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.449223:0.266988:0.458492:0.266988:0.458492:0.250627:0.449223:0.250627:0.000000
   :@0.379438:0.323167:0.391545:0.323167:0.391545:0.306778:0.379438:0.306778:0.000000:0.000000:0.000000
::@0.424837:0.303989:0.428043:0.303989:0.428043:0.288319:0.424837:0.288319:0.000000
.:@0.610937:0.314362:0.614144:0.314362:0.614144:0.298692:0.610937:0.298692:0.000000
:@0.405819:0.304860:0.413190:0.304860:0.413190:0.288112:0.405819:0.288112:0.000000
:@0.491526:0.315233:0.498897:0.315233:0.498897:0.298485:0.491526:0.298485:0.000000
gf:@0.394892:0.303989:0.419585:0.303989:0.419585:0.288596:0.394892:0.288596:0.000000:0.000000
A:@0.441587:0.291777:0.451483:0.291777:0.451483:0.276384:0.441587:0.276384:0.000000
C:@0.474149:0.291777:0.484063:0.291777:0.484063:0.276384:0.474149:0.276384:0.000000
x:@0.441587:0.314362:0.449051:0.314362:0.449051:0.298969:0.441587:0.298969:0.000000
g f:@0.480589:0.314362:0.505286:0.314362:0.505286:0.298969:0.480589:0.298969:0.000000:0.000000:0.000000
x:@0.523727:0.314362:0.531190:0.314362:0.531190:0.298969:0.523727:0.298969:0.000000
gf x:@0.555085:0.314362:0.596000:0.314362:0.596000:0.298969:0.555085:0.298969:0.000000:0.000000:0.000000:0.000000
(:@0.565399:0.318745:0.532801:0.318745:0.532801:0.296320:0.565399:0.296320:0.000000
):@0.604134:0.318745:0.571536:0.318745:0.571536:0.296320:0.604134:0.296320:0.000000
(:@0.473419:0.317494:0.479555:0.317494:0.479555:0.297560:0.473419:0.297560:0.000000
)():@0.508599:0.317494:0.539023:0.317494:0.539023:0.297560:0.508599:0.297560:0.000000:0.000000:0.000000
():@0.580631:0.317494:0.603831:0.317494:0.603831:0.297560:0.580631:0.297560:0.000000:0.000000
→:@0.453421:0.292447:0.471609:0.292447:0.471609:0.276874:0.453421:0.276874:0.000000
→:@0.452684:0.315032:0.470872:0.315032:0.470872:0.299459:0.452684:0.299459:0.000000
=:@0.541690:0.315032:0.551806:0.315032:0.551806:0.299459:0.541690:0.299459:0.000000
⎧:@0.430976:0.291341:0.440080:0.291341:0.440080:0.275768:0.430976:0.275768:0.000000
⎨:@0.430976:0.304936:0.440080:0.304936:0.440080:0.289363:0.430976:0.289363:0.000000
⎪:@0.430976:0.294452:0.440080:0.294452:0.440080:0.278879:0.430976:0.278879:0.000000
⎩:@0.430976:0.318891:0.440080:0.318891:0.440080:0.303318:0.430976:0.303318:0.000000
⎪:@0.430976:0.316263:0.440080:0.316263:0.440080:0.300690:0.430976:0.300690:0.000000
Funciones inversas:@0.122474:0.387263:0.272123:0.387263:0.272123:0.370362:0.122474:0.370362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para establecer cuál es la función :@0.122474:0.410982:0.370072:0.410982:0.370072:0.394593:0.122474:0.394593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversa es necesario verificar que :@0.122474:0.427578:0.370066:0.427578:0.370066:0.411189:0.122474:0.411189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función sea biyectiva.:@0.122474:0.444174:0.296079:0.444174:0.296079:0.427785:0.122474:0.427785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se define la función inversa como::@0.379429:0.343600:0.629877:0.343600:0.629877:0.327211:0.379429:0.327211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.. .. .. ..:@0.400529:0.369836:0.469500:0.369836:0.469500:0.354167:0.400529:0.354167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.482974:0.369836:0.486181:0.369836:0.486181:0.354167:0.482974:0.354167:0.000000
,:@0.529928:0.369836:0.533134:0.369836:0.533134:0.354167:0.529928:0.354167:0.000000
..:@0.534074:0.369836:0.550530:0.369836:0.550530:0.354167:0.534074:0.354167:0.000000:0.000000
,:@0.579830:0.369836:0.583036:0.369836:0.583036:0.354167:0.579830:0.354167:0.000000
..:@0.583958:0.369836:0.590205:0.369836:0.590205:0.354167:0.583958:0.354167:0.000000:0.000000
–1:@0.390219:0.362178:0.400771:0.362178:0.400771:0.353097:0.390219:0.353097:0.000000:0.000000
–1:@0.705579:0.362178:0.716130:0.362178:0.716130:0.353097:0.705579:0.353097:0.000000:0.000000
f:@0.382053:0.369839:0.386752:0.369839:0.386752:0.354446:0.382053:0.354446:0.000000
de B en A x:@0.407339:0.369839:0.498044:0.369839:0.498044:0.354446:0.407339:0.354446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A y:@0.520054:0.369839:0.546435:0.369839:0.546435:0.354446:0.520054:0.354446:0.000000:0.000000:0.000000
B y f x:@0.569945:0.369839:0.640228:0.369839:0.640228:0.354446:0.569945:0.354446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f:@0.673231:0.369839:0.702117:0.369839:0.702117:0.354446:0.673231:0.354446:0.000000:0.000000:0.000000
y:@0.725372:0.369839:0.732854:0.369839:0.732854:0.354446:0.725372:0.354446:0.000000
():@0.624859:0.372971:0.648059:0.372971:0.648059:0.353037:0.624859:0.353037:0.000000:0.000000
():@0.717465:0.372971:0.740665:0.372971:0.740665:0.353037:0.717465:0.353037:0.000000:0.000000
∈:@0.502461:0.370517:0.464242:0.370517:0.464242:0.354944:0.502461:0.354944:0.000000
∈:@0.553818:0.370517:0.515599:0.370517:0.515599:0.354944:0.553818:0.354944:0.000000
=:@0.603389:0.370517:0.613505:0.370517:0.613505:0.354944:0.603389:0.354944:0.000000
⇔ =:@0.650305:0.370517:0.694863:0.370517:0.694863:0.354944:0.650305:0.354944:0.000000:0.000000:0.000000
Para determinar la función inversa de una función biyectiva se si-:@0.379438:0.401109:0.872780:0.401109:0.872780:0.384720:0.379438:0.384720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
guen los siguientes pasos::@0.379438:0.417706:0.570641:0.417706:0.570641:0.401317:0.379438:0.401317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.608217:0.443236:0.623235:0.443236:0.623235:0.426101:0.608217:0.426101:0.000000:0.000000
  La expresión obtenida es :@0.623235:0.443236:0.823487:0.443236:0.823487:0.426847:0.623235:0.426847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.837520:0.435023:0.842732:0.435023:0.842732:0.425525:0.837520:0.425525:0.000000
f:@0.823805:0.442686:0.828504:0.442686:0.828504:0.426324:0.823805:0.426324:0.000000
y:@0.851962:0.442686:0.859444:0.442686:0.859444:0.426324:0.851962:0.426324:0.000000
():@0.844064:0.445817:0.867264:0.445817:0.867264:0.425884:0.844064:0.425884:0.000000:0.000000
−:@0.831761:0.435416:0.837624:0.435416:0.837624:0.426391:0.831761:0.426391:0.000000
;:@0.871444:0.443239:0.874650:0.443239:0.874650:0.426850:0.871444:0.426850:0.000000
4.:@0.608205:0.466958:0.623224:0.466958:0.623224:0.449822:0.608205:0.449822:0.000000:0.000000
  Haciendo un cambio de variable :@0.623224:0.466958:0.878962:0.466958:0.878962:0.450569:0.623224:0.450569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos :@0.636694:0.484536:0.725810:0.484536:0.725810:0.468147:0.636694:0.468147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.739855:0.477156:0.745067:0.477156:0.745067:0.467657:0.739855:0.467657:0.000000
f:@0.726139:0.484818:0.730838:0.484818:0.730838:0.468457:0.726139:0.468457:0.000000
x:@0.754296:0.484818:0.761759:0.484818:0.761759:0.468457:0.754296:0.468457:0.000000
():@0.746399:0.487950:0.769599:0.487950:0.769599:0.468016:0.746399:0.468016:0.000000:0.000000
−:@0.734096:0.477548:0.739959:0.477548:0.739959:0.468523:0.734096:0.468523:0.000000
1.:@0.379434:0.443000:0.394453:0.443000:0.394453:0.425864:0.379434:0.425864:0.000000:0.000000
  Igualamos a   la función;:@0.394453:0.443000:0.587740:0.443000:0.587740:0.426611:0.394453:0.426611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.500467:0.443000:0.507949:0.443000:0.507949:0.426639:0.500467:0.426639:0.000000
2.:@0.379434:0.466719:0.394453:0.466719:0.394453:0.449583:0.379434:0.449583:0.000000:0.000000
  Despejamos la variable  ;:@0.394453:0.466719:0.591496:0.466719:0.591496:0.450330:0.394453:0.450330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.580826:0.466719:0.588289:0.466719:0.588289:0.450358:0.580826:0.450358:0.000000
Actividad resuelta:@0.115281:0.517130:0.272404:0.517130:0.272404:0.498693:0.115281:0.498693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.115281:0.536977:0.159342:0.536977:0.159342:0.519841:0.115281:0.519841:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.159342:0.536977:0.169238:0.536977:0.169238:0.520616:0.159342:0.520616:0.000000
 = { ,  ,  ,  },   = {0, 1, 2, 3},   = { ,  ,  , } Las funciones   y   se definen a continuación::@0.169238:0.536977:0.793437:0.536977:0.793437:0.520588:0.169238:0.520588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n o p B:@0.193175:0.536977:0.278495:0.536977:0.278495:0.520616:0.193175:0.520616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.372255:0.536977:0.382169:0.536977:0.382169:0.520616:0.372255:0.520616:0.000000
q r s  t:@0.406106:0.536977:0.453429:0.536977:0.453429:0.520616:0.406106:0.520616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.565966:0.536977:0.596114:0.536977:0.596114:0.520616:0.565966:0.520616:0.000000:0.000000:0.000000
definida como:( )0,( )1,( )2,( )3:@0.189045:0.560505:0.539832:0.560505:0.539832:0.544116:0.189045:0.544116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(,0);( ,1);(,2);( ,3):@0.207419:0.582232:0.359816:0.582232:0.359816:0.565843:0.207419:0.565843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.117879:0.560505:0.122578:0.560505:0.122578:0.544144:0.117879:0.544144:0.000000
A:@0.142388:0.560505:0.152283:0.560505:0.152283:0.544144:0.142388:0.544144:0.000000
B:@0.174949:0.560505:0.183795:0.560505:0.183795:0.544144:0.174949:0.544144:0.000000
f m:@0.300497:0.560505:0.328046:0.560505:0.328046:0.544144:0.300497:0.544144:0.000000:0.000000:0.000000
f n:@0.367279:0.560505:0.390092:0.560505:0.390092:0.544144:0.367279:0.544144:0.000000:0.000000:0.000000
f o:@0.424828:0.560505:0.447328:0.560505:0.447328:0.544144:0.424828:0.544144:0.000000:0.000000:0.000000
f p:@0.486598:0.560505:0.509890:0.560505:0.509890:0.544144:0.486598:0.544144:0.000000:0.000000:0.000000
f:@0.117879:0.582232:0.122578:0.582232:0.122578:0.565871:0.117879:0.565871:0.000000
A:@0.142388:0.582232:0.152283:0.582232:0.152283:0.565871:0.142388:0.565871:0.000000
B:@0.174949:0.582232:0.183795:0.582232:0.183795:0.565871:0.174949:0.565871:0.000000
m:@0.213113:0.582232:0.227745:0.582232:0.227745:0.565871:0.213113:0.565871:0.000000
n:@0.257303:0.582232:0.266811:0.582232:0.266811:0.565871:0.257303:0.565871:0.000000
o:@0.291854:0.582232:0.301068:0.582232:0.301068:0.565871:0.291854:0.565871:0.000000
p:@0.331382:0.582232:0.340651:0.582232:0.340651:0.565871:0.331382:0.565871:0.000000
{:@0.199096:0.584676:0.207942:0.584676:0.207942:0.566300:0.199096:0.566300:0.000000
}:@0.359085:0.584676:0.367930:0.584676:0.367930:0.566300:0.359085:0.566300:0.000000
=→:@0.128264:0.561182:0.172417:0.561182:0.172417:0.545610:0.128264:0.545610:0.000000:0.000000
=:@0.335999:0.561182:0.346115:0.561182:0.346115:0.545610:0.335999:0.545610:0.000000
=:@0.397768:0.561182:0.407885:0.561182:0.407885:0.545610:0.397768:0.545610:0.000000
=:@0.455669:0.561182:0.465786:0.561182:0.465786:0.545610:0.455669:0.545610:0.000000
=:@0.518176:0.561182:0.528293:0.561182:0.528293:0.545610:0.518176:0.545610:0.000000
=→ =:@0.128264:0.582910:0.197331:0.582910:0.197331:0.567337:0.128264:0.567337:0.000000:0.000000:0.000000:0.000000
,definidacomo: (0):@0.187579:0.612126:0.337377:0.612126:0.337377:0.595737:0.187579:0.595737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, g(1):@0.362328:0.612126:0.396788:0.612126:0.396788:0.595737:0.362328:0.595737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,g(2):@0.419086:0.612126:0.457433:0.612126:0.457433:0.595737:0.419086:0.595737:0.000000:0.000000:0.000000:0.000000:0.000000
, g(3):@0.480081:0.612126:0.518005:0.612126:0.518005:0.595737:0.480081:0.595737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.538736:0.612126:0.541943:0.612126:0.541943:0.595737:0.538736:0.595737:0.000000
0,:@0.217000:0.634874:0.229733:0.634874:0.229733:0.618485:0.217000:0.618485:0.000000:0.000000
;1,; 2, ;3,:@0.248566:0.634874:0.347062:0.634874:0.347062:0.618485:0.248566:0.618485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gB:@0.118632:0.612126:0.152023:0.612126:0.152023:0.595765:0.118632:0.595765:0.000000:0.000000
C:@0.175739:0.612126:0.185653:0.612126:0.185653:0.595765:0.175739:0.595765:0.000000
g:@0.308142:0.612126:0.317411:0.612126:0.317411:0.595765:0.308142:0.595765:0.000000
q:@0.352792:0.612126:0.362061:0.612126:0.362061:0.595765:0.352792:0.595765:0.000000
r:@0.412202:0.612126:0.417491:0.612126:0.417491:0.595765:0.412202:0.595765:0.000000
s:@0.472829:0.612126:0.479205:0.612126:0.479205:0.595765:0.472829:0.595765:0.000000
t:@0.532609:0.612126:0.537989:0.612126:0.537989:0.595765:0.532609:0.595765:0.000000
gB:@0.118632:0.634874:0.152023:0.634874:0.152023:0.618513:0.118632:0.618513:0.000000:0.000000
C:@0.175739:0.634874:0.185653:0.634874:0.185653:0.618513:0.175739:0.618513:0.000000
q:@0.231446:0.634874:0.240715:0.634874:0.240715:0.618513:0.231446:0.618513:0.000000
r:@0.269757:0.634874:0.275046:0.634874:0.275046:0.618513:0.269757:0.618513:0.000000
s:@0.309284:0.634874:0.315660:0.634874:0.315660:0.618513:0.309284:0.618513:0.000000
t:@0.347964:0.634874:0.353345:0.634874:0.353345:0.618513:0.347964:0.618513:0.000000
{:@0.201819:0.638329:0.210664:0.638329:0.210664:0.617772:0.201819:0.617772:0.000000
}:@0.360499:0.638329:0.369344:0.638329:0.369344:0.617772:0.360499:0.617772:0.000000
(:@0.210560:0.638007:0.216696:0.638007:0.216696:0.618074:0.210560:0.618074:0.000000
) () ( ) ( ):@0.240984:0.638007:0.361003:0.638007:0.361003:0.618074:0.240984:0.618074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=→:@0.130515:0.612803:0.173212:0.612803:0.173212:0.597231:0.130515:0.597231:0.000000:0.000000
=:@0.339761:0.612803:0.349878:0.612803:0.349878:0.597231:0.339761:0.597231:0.000000
=:@0.399172:0.612803:0.409289:0.612803:0.409289:0.597231:0.399172:0.597231:0.000000
=:@0.459806:0.612803:0.469922:0.612803:0.469922:0.597231:0.459806:0.597231:0.000000
=:@0.520377:0.612803:0.530494:0.612803:0.530494:0.597231:0.520377:0.597231:0.000000
=→ =:@0.130515:0.635552:0.200043:0.635552:0.200043:0.619979:0.130515:0.619979:0.000000:0.000000:0.000000:0.000000
Determinar:@0.115276:0.667680:0.202991:0.667680:0.202991:0.651056:0.115276:0.651056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lo siguiente::@0.202991:0.667680:0.295699:0.667680:0.295699:0.651291:0.202991:0.651291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115276:0.691827:0.133998:0.691827:0.133998:0.674927:0.115276:0.674927:0.000000:0.000000:0.000000
Las funciones inversas de la función   y :@0.148519:0.691827:0.445479:0.691831:0.445479:0.675442:0.148519:0.675438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.413988:0.691827:0.418687:0.691827:0.418687:0.675466:0.413988:0.675466:0.000000
–1:@0.418685:0.685785:0.429299:0.685785:0.429299:0.676230:0.418685:0.676230:0.000000:0.000000
g:@0.445479:0.691831:0.454748:0.691831:0.454748:0.675470:0.445479:0.675470:0.000000
–1:@0.454748:0.685785:0.465362:0.685785:0.465362:0.676230:0.454748:0.676230:0.000000:0.000000
.        La composición de las funciones inversas :@0.465362:0.691831:0.817828:0.691831:0.817828:0.675442:0.465362:0.675442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.484711:0.691831:0.500928:0.691831:0.500928:0.674930:0.484711:0.674930:0.000000:0.000000
.:@0.865069:0.692666:0.867901:0.692666:0.867901:0.676277:0.865069:0.676277:0.000000
1:@0.832247:0.685005:0.836849:0.685005:0.836849:0.675507:0.832247:0.675507:0.000000
1:@0.860681:0.685005:0.865284:0.685005:0.865284:0.675507:0.860681:0.675507:0.000000
f:@0.820133:0.692666:0.824283:0.692666:0.824283:0.676305:0.820133:0.676305:0.000000
g:@0.847228:0.692666:0.855413:0.692666:0.855413:0.676305:0.847228:0.676305:0.000000
−:@0.827160:0.685398:0.803903:0.685398:0.803903:0.676372:0.827160:0.676372:0.000000
−:@0.855595:0.685398:0.832338:0.685398:0.832338:0.676372:0.855595:0.676372:0.000000
:@0.838579:0.693537:0.845088:0.693537:0.845088:0.676789:0.838579:0.676789:0.000000
Solución:@0.115281:0.724149:0.184495:0.724149:0.184495:0.707248:0.115281:0.707248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observamos:@0.115281:0.747868:0.211934:0.747868:0.211934:0.731244:0.115281:0.731244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si las funciones   y   son biyectivas, en este caso sí lo son.:@0.211934:0.747868:0.631067:0.747868:0.631067:0.731479:0.211934:0.731479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.330000:0.747868:0.360148:0.747868:0.360148:0.731507:0.330000:0.731507:0.000000:0.000000:0.000000
b) :@0.528134:0.775279:0.548165:0.775279:0.548165:0.758379:0.528134:0.758379:0.000000:0.000000:0.000000
Encontramos:@0.561378:0.775279:0.662785:0.775279:0.662785:0.758655:0.561378:0.758655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la composición de funciones: :@0.662785:0.775279:0.885022:0.775279:0.885022:0.758891:0.662785:0.758891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.528134:0.795444:0.532170:0.795444:0.532170:0.779055:0.528134:0.779055:0.000000
=:@0.649962:0.797377:0.660079:0.797377:0.660079:0.781804:0.649962:0.781804:0.000000
=:@0.737346:0.797377:0.747463:0.797377:0.747463:0.781804:0.737346:0.781804:0.000000
=:@0.792880:0.797377:0.802997:0.797377:0.802997:0.781804:0.792880:0.781804:0.000000
−:@0.577454:0.789429:0.583317:0.789429:0.583317:0.780404:0.577454:0.780404:0.000000
−:@0.609856:0.789429:0.615719:0.789429:0.615719:0.780404:0.609856:0.780404:0.000000
−:@0.671531:0.789429:0.677394:0.789429:0.677394:0.780404:0.671531:0.780404:0.000000
−:@0.698391:0.789429:0.704254:0.789429:0.704254:0.780404:0.698391:0.780404:0.000000
−:@0.758902:0.789429:0.764765:0.789429:0.764765:0.780404:0.758902:0.780404:0.000000
(:@0.563582:0.796699:0.568465:0.796699:0.568465:0.780310:0.563582:0.780310:0.000000
)():@0.621739:0.796699:0.647206:0.796699:0.647206:0.780310:0.621739:0.780310:0.000000:0.000000:0.000000
(:@0.682256:0.796699:0.687139:0.796699:0.687139:0.780310:0.682256:0.780310:0.000000
( )):@0.709105:0.796699:0.734572:0.796699:0.734572:0.780310:0.709105:0.780310:0.000000:0.000000:0.000000:0.000000
(0):@0.769639:0.796699:0.790131:0.796699:0.790131:0.780310:0.769639:0.780310:0.000000:0.000000:0.000000
1:@0.583214:0.789037:0.588425:0.789037:0.588425:0.779538:0.583214:0.779538:0.000000
1:@0.615616:0.789037:0.620827:0.789037:0.620827:0.779538:0.615616:0.779538:0.000000
1:@0.677291:0.789037:0.682503:0.789037:0.682503:0.779538:0.677291:0.779538:0.000000
1:@0.704150:0.789037:0.709362:0.789037:0.709362:0.779538:0.704150:0.779538:0.000000
1:@0.764661:0.789037:0.769873:0.789037:0.769873:0.779538:0.764661:0.779538:0.000000
:@0.590385:0.797570:0.597757:0.797570:0.597757:0.780822:0.590385:0.780822:0.000000
f:@0.569286:0.796699:0.573985:0.796699:0.573985:0.780338:0.569286:0.780338:0.000000
g:@0.600171:0.796699:0.609440:0.796699:0.609440:0.780338:0.600171:0.780338:0.000000
q:@0.632419:0.796699:0.641688:0.796699:0.641688:0.780338:0.632419:0.780338:0.000000
f:@0.663359:0.796699:0.668058:0.796699:0.668058:0.780338:0.663359:0.780338:0.000000
gq:@0.688697:0.796699:0.724465:0.796699:0.724465:0.780338:0.688697:0.780338:0.000000:0.000000
f:@0.750738:0.796699:0.755437:0.796699:0.755437:0.780338:0.750738:0.780338:0.000000
m:@0.806279:0.796699:0.820910:0.796699:0.820910:0.780338:0.806279:0.780338:0.000000
 :@0.528142:0.819166:0.532178:0.819166:0.532178:0.802777:0.528142:0.802777:0.000000
=:@0.647292:0.821101:0.657408:0.821101:0.657408:0.805528:0.647292:0.805528:0.000000
=:@0.732004:0.821101:0.742120:0.821101:0.742120:0.805528:0.732004:0.805528:0.000000
=:@0.783299:0.821101:0.793416:0.821101:0.793416:0.805528:0.783299:0.805528:0.000000
−:@0.577454:0.813155:0.583317:0.813155:0.583317:0.804129:0.577454:0.804129:0.000000
−:@0.609856:0.813155:0.615719:0.813155:0.615719:0.804129:0.609856:0.804129:0.000000
−:@0.668861:0.813155:0.674725:0.813155:0.674725:0.804129:0.668861:0.804129:0.000000
−:@0.695721:0.813155:0.701584:0.813155:0.701584:0.804129:0.695721:0.804129:0.000000
−:@0.753562:0.813155:0.759425:0.813155:0.759425:0.804129:0.753562:0.804129:0.000000
(:@0.563582:0.820423:0.568465:0.820423:0.568465:0.804034:0.563582:0.804034:0.000000
)():@0.621739:0.820423:0.644534:0.820423:0.644534:0.804034:0.621739:0.804034:0.000000:0.000000:0.000000
(:@0.679584:0.820423:0.684467:0.820423:0.684467:0.804034:0.679584:0.804034:0.000000
( )):@0.706433:0.820423:0.729228:0.820423:0.729228:0.804034:0.706433:0.804034:0.000000:0.000000:0.000000:0.000000
(1):@0.764295:0.820423:0.780530:0.820423:0.780530:0.804034:0.764295:0.804034:0.000000:0.000000:0.000000
1:@0.583214:0.812762:0.588425:0.812762:0.588425:0.803264:0.583214:0.803264:0.000000
1:@0.615616:0.812762:0.620827:0.812762:0.620827:0.803264:0.615616:0.803264:0.000000
1:@0.674621:0.812762:0.679833:0.812762:0.679833:0.803264:0.674621:0.803264:0.000000
1:@0.701480:0.812762:0.706692:0.812762:0.706692:0.803264:0.701480:0.803264:0.000000
1:@0.759321:0.812762:0.764533:0.812762:0.764533:0.803264:0.759321:0.803264:0.000000
:@0.590385:0.821294:0.597757:0.821294:0.597757:0.804546:0.590385:0.804546:0.000000
f:@0.569286:0.820423:0.573985:0.820423:0.573985:0.804062:0.569286:0.804062:0.000000
g:@0.600171:0.820423:0.609440:0.820423:0.609440:0.804062:0.600171:0.804062:0.000000
r:@0.632419:0.820423:0.637708:0.820423:0.637708:0.804062:0.632419:0.804062:0.000000
f:@0.660687:0.820423:0.665386:0.820423:0.665386:0.804062:0.660687:0.804062:0.000000
gr:@0.686025:0.820423:0.717813:0.820423:0.717813:0.804062:0.686025:0.804062:0.000000:0.000000
f:@0.745397:0.820423:0.750096:0.820423:0.750096:0.804062:0.745397:0.804062:0.000000
n:@0.797068:0.820423:0.806577:0.820423:0.806577:0.804062:0.797068:0.804062:0.000000
 :@0.528142:0.842891:0.532178:0.842891:0.532178:0.826502:0.528142:0.826502:0.000000
=:@0.647659:0.844826:0.657775:0.844826:0.657775:0.829253:0.647659:0.829253:0.000000
=:@0.732739:0.844826:0.742856:0.844826:0.742856:0.829253:0.732739:0.829253:0.000000
=:@0.787906:0.844826:0.798023:0.844826:0.798023:0.829253:0.787906:0.829253:0.000000
−:@0.577454:0.836879:0.583317:0.836879:0.583317:0.827853:0.577454:0.827853:0.000000
−:@0.609856:0.836879:0.615719:0.836879:0.615719:0.827853:0.609856:0.827853:0.000000
−:@0.669225:0.836879:0.675088:0.836879:0.675088:0.827853:0.669225:0.827853:0.000000
−:@0.696084:0.836879:0.701947:0.836879:0.701947:0.827853:0.696084:0.827853:0.000000
−:@0.754299:0.836879:0.760162:0.836879:0.760162:0.827853:0.754299:0.827853:0.000000
(:@0.563582:0.844148:0.568465:0.844148:0.568465:0.827759:0.563582:0.827759:0.000000
)():@0.621739:0.844148:0.644903:0.844148:0.644903:0.827759:0.621739:0.827759:0.000000:0.000000:0.000000
(:@0.679952:0.844148:0.684835:0.844148:0.684835:0.827759:0.679952:0.827759:0.000000
( )):@0.706801:0.844148:0.729965:0.844148:0.729965:0.827759:0.706801:0.827759:0.000000:0.000000:0.000000:0.000000
(2):@0.765033:0.844148:0.785156:0.844148:0.785156:0.827759:0.765033:0.827759:0.000000:0.000000:0.000000
1:@0.583214:0.836486:0.588425:0.836486:0.588425:0.826988:0.583214:0.826988:0.000000
1:@0.615616:0.836486:0.620827:0.836486:0.620827:0.826988:0.615616:0.826988:0.000000
1:@0.674984:0.836486:0.680196:0.836486:0.680196:0.826988:0.674984:0.826988:0.000000
1:@0.701843:0.836486:0.707055:0.836486:0.707055:0.826988:0.701843:0.826988:0.000000
1:@0.760058:0.836486:0.765270:0.836486:0.765270:0.826988:0.760058:0.826988:0.000000
:@0.590385:0.845019:0.597757:0.845019:0.597757:0.828271:0.590385:0.828271:0.000000
f:@0.569286:0.844148:0.573985:0.844148:0.573985:0.827787:0.569286:0.827787:0.000000
g:@0.600171:0.844148:0.609440:0.844148:0.609440:0.827787:0.600171:0.827787:0.000000
s:@0.632419:0.844148:0.638795:0.844148:0.638795:0.827787:0.632419:0.827787:0.000000
f:@0.661055:0.844148:0.665754:0.844148:0.665754:0.827787:0.661055:0.827787:0.000000
gs:@0.686393:0.844148:0.719268:0.844148:0.719268:0.827787:0.686393:0.827787:0.000000:0.000000
f:@0.746131:0.844148:0.750830:0.844148:0.750830:0.827787:0.746131:0.827787:0.000000
o:@0.801672:0.844148:0.810886:0.844148:0.810886:0.827787:0.801672:0.827787:0.000000
 :@0.528142:0.874159:0.532178:0.874159:0.532178:0.857770:0.528142:0.857770:0.000000
=:@0.646506:0.868550:0.656623:0.868550:0.656623:0.852977:0.646506:0.852977:0.000000
=:@0.730425:0.868550:0.740542:0.868550:0.740542:0.852977:0.730425:0.852977:0.000000
=:@0.785184:0.868550:0.795301:0.868550:0.795301:0.852977:0.785184:0.852977:0.000000
−:@0.577454:0.860603:0.583317:0.860603:0.583317:0.851577:0.577454:0.851577:0.000000
−:@0.609856:0.860603:0.615719:0.860603:0.615719:0.851577:0.609856:0.851577:0.000000
−:@0.668071:0.860603:0.673934:0.860603:0.673934:0.851577:0.668071:0.851577:0.000000
−:@0.694930:0.860603:0.700794:0.860603:0.700794:0.851577:0.694930:0.851577:0.000000
−:@0.751992:0.860603:0.757855:0.860603:0.757855:0.851577:0.751992:0.851577:0.000000
(:@0.563582:0.867872:0.568465:0.867872:0.568465:0.851483:0.563582:0.851483:0.000000
)():@0.621739:0.867872:0.643742:0.867872:0.643742:0.851483:0.621739:0.851483:0.000000:0.000000:0.000000
(:@0.678810:0.867872:0.683693:0.867872:0.683693:0.851483:0.678810:0.851483:0.000000
( )):@0.705659:0.867872:0.727661:0.867872:0.727661:0.851483:0.705659:0.851483:0.000000:0.000000:0.000000:0.000000
(3):@0.762729:0.867872:0.782428:0.867872:0.782428:0.851483:0.762729:0.851483:0.000000:0.000000:0.000000
1:@0.583214:0.860210:0.588425:0.860210:0.588425:0.850712:0.583214:0.850712:0.000000
1:@0.615616:0.860210:0.620827:0.860210:0.620827:0.850712:0.615616:0.850712:0.000000
1:@0.673831:0.860210:0.679042:0.860210:0.679042:0.850712:0.673831:0.850712:0.000000
1:@0.700690:0.860210:0.705902:0.860210:0.705902:0.850712:0.700690:0.850712:0.000000
1:@0.757751:0.860210:0.762963:0.860210:0.762963:0.850712:0.757751:0.850712:0.000000
:@0.590385:0.868743:0.597757:0.868743:0.597757:0.851995:0.590385:0.851995:0.000000
f:@0.569286:0.867872:0.573985:0.867872:0.573985:0.851511:0.569286:0.851511:0.000000
g:@0.600171:0.867872:0.609440:0.867872:0.609440:0.851511:0.600171:0.851511:0.000000
t:@0.631645:0.867872:0.637026:0.867872:0.637026:0.851511:0.631645:0.851511:0.000000
f:@0.659913:0.867872:0.664612:0.867872:0.664612:0.851511:0.659913:0.851511:0.000000
gt:@0.685251:0.867872:0.716338:0.867872:0.716338:0.851511:0.685251:0.851511:0.000000:0.000000
f:@0.743827:0.867872:0.748526:0.867872:0.748526:0.851511:0.743827:0.851511:0.000000
p:@0.799682:0.867872:0.808951:0.867872:0.808951:0.851511:0.799682:0.851511:0.000000
a) :@0.115281:0.775281:0.134004:0.775281:0.134004:0.758380:0.115281:0.758380:0.000000:0.000000:0.000000
Procedemos:@0.148525:0.775281:0.243777:0.775281:0.243777:0.758657:0.148525:0.758657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a definir las funciones   y :@0.243777:0.775281:0.442053:0.775281:0.442053:0.758892:0.243777:0.758892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.410566:0.775281:0.415265:0.775281:0.415265:0.758919:0.410566:0.758919:0.000000
–1:@0.415259:0.769233:0.425874:0.769233:0.425874:0.759679:0.415259:0.759679:0.000000:0.000000
g:@0.442053:0.775281:0.451322:0.775281:0.451322:0.758919:0.442053:0.758919:0.000000
–1:@0.451320:0.769233:0.461935:0.769233:0.461935:0.759679:0.451320:0.759679:0.000000:0.000000
::@0.461935:0.775281:0.465141:0.775281:0.465141:0.758892:0.461935:0.758892:0.000000
{:@0.246943:0.801055:0.255788:0.801055:0.255788:0.777695:0.246943:0.777695:0.000000
}:@0.420900:0.801055:0.429745:0.801055:0.429745:0.777695:0.420900:0.777695:0.000000
(:@0.255267:0.799405:0.261404:0.799405:0.261404:0.779005:0.255267:0.779005:0.000000
) ( ) (:@0.291496:0.799405:0.347313:0.799405:0.347313:0.779005:0.291496:0.779005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) (:@0.372375:0.799405:0.389881:0.799405:0.389881:0.779005:0.372375:0.779005:0.000000:0.000000:0.000000
):@0.415256:0.799405:0.421392:0.799405:0.421392:0.779005:0.415256:0.779005:0.000000
=→ =:@0.173546:0.797534:0.244068:0.797534:0.244068:0.781961:0.173546:0.781961:0.000000:0.000000:0.000000:0.000000
=:@0.193282:0.842607:0.203398:0.842607:0.203398:0.827034:0.193282:0.827034:0.000000
=:@0.272447:0.842607:0.282564:0.842607:0.282564:0.827034:0.272447:0.827034:0.000000
=:@0.350441:0.842600:0.360558:0.842600:0.360558:0.827027:0.350441:0.827027:0.000000
=:@0.428390:0.842600:0.438507:0.842600:0.438507:0.827027:0.428390:0.827027:0.000000
−:@0.159306:0.789586:0.165169:0.789586:0.165169:0.780561:0.159306:0.780561:0.000000
−:@0.159306:0.834656:0.165169:0.834656:0.165169:0.825631:0.159306:0.825631:0.000000
−:@0.242704:0.834656:0.248567:0.834656:0.248567:0.825631:0.242704:0.825631:0.000000
−:@0.316832:0.834653:0.322695:0.834653:0.322695:0.825628:0.316832:0.825628:0.000000
−:@0.395199:0.834653:0.401063:0.834653:0.401063:0.825628:0.395199:0.825628:0.000000
0,:@0.262124:0.796856:0.274857:0.796856:0.274857:0.780467:0.262124:0.780467:0.000000:0.000000
;1,:@0.298721:0.796856:0.318218:0.796856:0.318218:0.780467:0.298721:0.780467:0.000000:0.000000:0.000000
; 2,:@0.337051:0.796856:0.360417:0.796856:0.360417:0.780467:0.337051:0.780467:0.000000:0.000000:0.000000:0.000000
;3,:@0.379619:0.796856:0.402561:0.796856:0.402561:0.780467:0.379619:0.780467:0.000000:0.000000:0.000000
decir::@0.170631:0.819330:0.209753:0.819330:0.209753:0.802941:0.170631:0.802941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0):@0.170059:0.841929:0.190551:0.841929:0.190551:0.825540:0.170059:0.825540:0.000000:0.000000:0.000000
,:@0.221638:0.841929:0.224845:0.841929:0.224845:0.825540:0.221638:0.825540:0.000000
(1):@0.253463:0.841929:0.269698:0.841929:0.269698:0.825540:0.253463:0.825540:0.000000:0.000000:0.000000
,:@0.295754:0.841929:0.298961:0.841929:0.298961:0.825540:0.295754:0.825540:0.000000
(2):@0.327579:0.841929:0.347702:0.841929:0.347702:0.825540:0.327579:0.825540:0.000000:0.000000:0.000000
,:@0.374127:0.841929:0.377334:0.841929:0.377334:0.825540:0.374127:0.825540:0.000000
(3):@0.405952:0.841929:0.425651:0.841929:0.425651:0.825540:0.405952:0.825540:0.000000:0.000000:0.000000
1:@0.165066:0.789194:0.170277:0.789194:0.170277:0.779696:0.165066:0.779696:0.000000
1:@0.165066:0.834264:0.170277:0.834264:0.170277:0.824766:0.165066:0.824766:0.000000
1:@0.248463:0.834264:0.253675:0.834264:0.253675:0.824766:0.248463:0.824766:0.000000
1:@0.322590:0.834260:0.327802:0.834260:0.327802:0.824762:0.322590:0.824762:0.000000
1:@0.400957:0.834260:0.406169:0.834260:0.406169:0.824762:0.400957:0.824762:0.000000
f:@0.151139:0.796856:0.155838:0.796856:0.155838:0.780495:0.151139:0.780495:0.000000
B:@0.186944:0.796856:0.195789:0.796856:0.195789:0.780495:0.186944:0.780495:0.000000
A:@0.221349:0.796856:0.231244:0.796856:0.231244:0.780495:0.221349:0.780495:0.000000
m:@0.276208:0.796856:0.290839:0.796856:0.290839:0.780495:0.276208:0.780495:0.000000
n:@0.319918:0.796856:0.329427:0.796856:0.329427:0.780495:0.319918:0.780495:0.000000
o:@0.362117:0.796856:0.371331:0.796856:0.371331:0.780495:0.362117:0.780495:0.000000
p:@0.404980:0.796856:0.414249:0.796856:0.414249:0.780495:0.404980:0.780495:0.000000
Es:@0.151121:0.819330:0.165550:0.819330:0.165550:0.802969:0.151121:0.802969:0.000000:0.000000
f:@0.151121:0.841929:0.155820:0.841929:0.155820:0.825568:0.151121:0.825568:0.000000
m f:@0.206662:0.841929:0.239223:0.841929:0.239223:0.825568:0.206662:0.825568:0.000000:0.000000:0.000000
n f:@0.286195:0.841929:0.313358:0.841929:0.313358:0.825568:0.286195:0.825568:0.000000:0.000000:0.000000
o f:@0.364200:0.841929:0.391734:0.841923:0.391734:0.825561:0.364200:0.825568:0.000000:0.000000:0.000000
p:@0.442889:0.841923:0.452158:0.841923:0.452158:0.825561:0.442889:0.825561:0.000000
,0 ;,1; ,2 ;,3:@0.271601:0.870491:0.399783:0.870491:0.399783:0.854102:0.271601:0.854102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciadodeotramaneraes::@0.150347:0.893560:0.362633:0.893560:0.362633:0.877171:0.150347:0.877171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
() 0, g( )1,g () 2, g( )3:@0.172073:0.916159:0.440780:0.916147:0.440780:0.899758:0.172073:0.899770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.167108:0.862829:0.172319:0.862829:0.172319:0.853331:0.167108:0.853331:0.000000
1:@0.167108:0.908484:0.172319:0.908484:0.172319:0.898986:0.167108:0.898986:0.000000
1:@0.246052:0.908484:0.251263:0.908484:0.251263:0.898986:0.246052:0.898986:0.000000
1:@0.318089:0.908485:0.323300:0.908485:0.323300:0.898987:0.318089:0.898987:0.000000
1:@0.394363:0.908485:0.399574:0.908485:0.399574:0.898987:0.394363:0.898987:0.000000
g:@0.151873:0.870491:0.161142:0.870491:0.161142:0.854130:0.151873:0.854130:0.000000
C:@0.187899:0.870491:0.197813:0.870491:0.197813:0.854130:0.187899:0.854130:0.000000
B:@0.222396:0.870491:0.231241:0.870491:0.231241:0.854130:0.222396:0.854130:0.000000
q:@0.262070:0.870491:0.271339:0.870491:0.271339:0.854130:0.262070:0.854130:0.000000
r:@0.304638:0.870491:0.309927:0.870491:0.309927:0.854130:0.304638:0.854130:0.000000
s:@0.340296:0.870491:0.346672:0.870491:0.346672:0.854130:0.340296:0.854130:0.000000
t:@0.379399:0.870491:0.384780:0.870491:0.384780:0.854130:0.379399:0.854130:0.000000
gq:@0.151873:0.916145:0.187420:0.916145:0.187420:0.899784:0.151873:0.899784:0.000000:0.000000
r:@0.257095:0.916145:0.262384:0.916145:0.262384:0.899784:0.257095:0.899784:0.000000
s:@0.329128:0.916145:0.335504:0.916145:0.335504:0.899784:0.329128:0.899784:0.000000
t:@0.404627:0.916145:0.410007:0.916145:0.410007:0.899784:0.404627:0.899784:0.000000
{:@0.246524:0.873946:0.255369:0.873946:0.255369:0.853389:0.246524:0.853389:0.000000
}:@0.405204:0.873946:0.414050:0.873946:0.414050:0.853389:0.405204:0.853389:0.000000
(:@0.255267:0.873623:0.261404:0.873623:0.261404:0.853690:0.255267:0.853690:0.000000
) () ( ) ( ):@0.285691:0.873623:0.405710:0.873623:0.405710:0.853690:0.285691:0.853690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=→ =:@0.175221:0.871169:0.244748:0.871169:0.244748:0.855596:0.175221:0.855596:0.000000:0.000000:0.000000:0.000000
=:@0.195307:0.916823:0.205424:0.916823:0.205424:0.901250:0.195307:0.901250:0.000000
=:@0.271579:0.916823:0.281696:0.916823:0.281696:0.901250:0.271579:0.901250:0.000000
=:@0.344001:0.916824:0.354118:0.916824:0.354118:0.901251:0.344001:0.901251:0.000000
=:@0.419131:0.916824:0.429248:0.916824:0.429248:0.901251:0.419131:0.901251:0.000000
−:@0.161348:0.863221:0.167211:0.863221:0.167211:0.854196:0.161348:0.854196:0.000000
−:@0.161348:0.908877:0.167211:0.908877:0.167211:0.899851:0.161348:0.899851:0.000000
−:@0.240292:0.908877:0.246155:0.908877:0.246155:0.899851:0.240292:0.899851:0.000000
−:@0.312329:0.908878:0.318192:0.908878:0.318192:0.899853:0.312329:0.899853:0.000000
−:@0.388603:0.908878:0.394466:0.908878:0.394466:0.899853:0.388603:0.899853:0.000000