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Two functions are represented below. Which function has a domain that contains the domain of the other as a
subset?
f(x)=-log( X+3 ) - 2

Function g(x) f(x)

Subset g(x) f(x)

Two functions are represented below Which function has a domain that contains the domain of the other as a subset fxlog X3 2 Function gx fx Subset gx fx class=

Respuesta :

elcharly64

Answer:

g has a domain that contains the domain of f as a subset

Step-by-step explanation:

The Domain of Real Functions

Real functions take values for the independent variable (usually x). The whole set of those values is called the domain of f.

Function f is defined as

[tex]f(x)=-log(x+3)-2[/tex]

It can only exist when the argument is positive, i.e.

[tex]x+3>0[/tex]

[tex]x>-3, (-3,\infty)[/tex]

Function g is not explicitly defined but we can see its graph. It's evident its domain is

[tex](-5,\infty)[/tex]

This interval contains the domain obtained for f, so we can conclude g has a domain that contains the domain of f as a subset

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