Question

How do you verify if `f(x)=x^5; g(x)root5x` are inverse functions?

Answer 1

See below.

Explanation:

If `f(x)` and `g(x)` are inverses, then:

`f(g(x))=g(f(x))=x`

`(root(5)(x))^5=(root(5)(x^5))=x`

`x=x=x`

So `f(x)` and `g(x)` are inverses.