Which description best explains the domain of (g(f(

the elements in the domain of f(x) for which g(f(x)) is defined
the elements in the domain of f(x) for which g(f(x)) is not zero
the elements in the domain of g(x) for which g(f(x)) is defined
the elements in the domain of g(x) for which g(f(x)) is not zero

We will solve this question by taking two functions :

f(x) = x² and g(x) =

As , domain of f(x) is set of all real numbers,

And domain of g(x) is all real numbers except 2.

Now g[f(x)]= g(x²)=

Domain of g[f(x)] is all real numbers except √2 and -√2.

The Description which best describes about the domain of g[f(x)] is :

the elements in the domain of f(x) for which g(f(x)) is defined which is option 1.

answer: the first graph

step-by-step explanation: