Question

How do you show that `f(x)=x^3/8` and `g(x)=root3(8x)` are inverse functions algebraically and graphically?

Answer 1

Explained below

Explanation:

Algebraically if the two functions are inverse then composition f(g(x)=x

Now f(g(x) would be `((8x)^(1/3) )^3/8`= `(8x)/8`=x.

The graphs are given below