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Funciones: dominio, imagen y operaciones

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Funciones: dominio, imagen y operaciones

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Dominios, imágenes y operaciones

Created by

Alejandra García García
Alejandra García García
Mexico

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Funciones: dominio, imagen y operaciones
 

Funciones: dominio, imagen y operacionesOnline version

Dominios, imágenes y operaciones

by Alejandra García García
1

El dominio de f+g es la intersección del dominio de f y del dominio de g.

2

Si dos funciones tienen el mismo dominio, la suma f+g se define en ese dominio.

3

El dominio de f siempre coincide con su codominio.

4

La composición f∘g está definida para todo x si g(x) pertenece al codominio de f.

5

La imagen de f es siempre el conjunto de todos los números reales.

6

El dominio de una función f es el conjunto de todos los x para los que f(x) está definido.

7

La composición (f∘g)(x) está definida en aquellos x para los que g(x) pertenece al dominio de f.

8

Si f y g tienen dominios diferentes, la suma f+g está definida en todo el dominio de g.

9

La imagen (rango) de una función es el conjunto de valores que toma f(x) al recorrer el dominio.

10

El rango de una función siempre es igual al codominio de la función.

 
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