Question 509370
Interesting question.

Let's figure out what the INVERSE of f(x) is.

y = x^3
cbrt stands for cube root or 'third root'
cbrt(y) = x

Switch x and y

y = cbrt(x)

So if we were to put in cbrt(x) as our g(x), by definition  f(g(x)) = x.

But we want x+1.

So we put in cbrt(x+1), and that is our answer for part a.

Again the inverse of f(x) is cbrt(x).

So cbrt(f(x)) = x

We want our end result to be x+1.

So g(x) must be  cbrt(x) + 1. <--- Part b answer