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

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Answer 1 · 2017-03-15T18:42:23

Explained below

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

enter image source here

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