Question

Which statement verifies that f(x) and g(x) are inverses of each other? f(g(x)) = x f(g(x)) = x and g(f(x)) = –x f(g(x)) = g(f(x) f(g(x)) = x and g(f(x)) = x

Answer 1

Step-by-step explanation:

The test to verify if a function f is the inverse of another function g is given by using the composition of the functions such as this, f(g(x))= x. Therefore, to answer your question,

f(g(x))=x is saying f is the inverse of g.

f(g(x))=x is saying f is the inverse of g but g is not the inverse of f, g(f(x))≠x.

f(g(x))= g(f(x)) is saying the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't specify each equals x.

f(g(x))=x and g(f(x)) =x is saying f is the inverse of g and g is the inverse of f.