What is the inverse function of....

f(x) = x^3 - 1

To find the inverse, follow the three steps:

1. exchange x and y (or f(x))
x=y^3-1
2. solve for the (new) y in terms of (new) x.
y=(x+1)^(1/3)
3. check that f(f-1(x))=x
f(f-1(x))
=[f-1(x)]-1
=[(x+1)^(1/3)]³-1
=[(x+1)]-1
=x (it checks!)