Prove that f(x) and g(x) are inverses

Question

f(x)=3^2-x and g(x)=-log(sub3)x+2

Answer 1

If the two functions f(x) and g(x) are inverse to each other then (fog)(x) = (gof)(x) = x.

The two functions are .

 

Therefore, the two functions f(x) and g(x) are inverses.