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Desafío sobre funciones inversas

Created by

Aseneth Zarate zarate
Aseneth Zarate zarate
Mexico

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Función Inversa: Verdadero o Falso
 

Función Inversa: Verdadero o FalsoOnline version

Desafío sobre funciones inversas

by Aseneth Zarate zarate
1

La gráfica de f^{-1} es la reflexión de la gráfica de f respecto a la recta y = x.

2

Si f es continua y estrictamente monotónica, entonces f^{-1} es continua y también estrictamente monotónica.

3

Una función f tiene inversa g si f(g(x)) = x para todo x en el dominio de g.

4

Si f(a) = b, entonces f^{-1}(b) = a.

5

Si f es biyectiva, entonces f^{-1} existe y su dominio es el rango de f.

6

La inversa de una función siempre tiene el mismo dominio que la función original.

7

El rango de f^{-1} siempre es igual al codominio de f.

8

La inversa de una función lineal y = mx + b es y = mx + b.

9

Si una función no es inyectiva, su inversa global existe y es única.

10

Toda función continua tiene inversa continua.

 
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