Question

If f and g are inverses of each other, what are g(f(x)) and f(g(x)) equal to?

Answer 1

Step-by-step explanation

(f○g)(x)=f(g(x)) indicates that we substitute g(x) into f(x).

(g○f)(x)=g(f(x)).

If two functions are inverses, then each will reverse the effect of the other. Using notation, (f○g)(x)=f(g(x))=x and (g○f)(x)=g(f(x))=x.

So

The answer is