How to find the inverse of a function

In the first unit I learned how to find the inverse of a function. Here's how you do it. For example;

f(x)=5x^3 - 10

Replace f(x) with y and isolate the x variable.
(y) -10= (5x^3 - 10) -10

y -10 = 5x^3

(y -10)/5 = (5x^3)/5

((y -10)/5)^(1/3) = (x^3)^(1/3)

((y -10)/5)^(1/3) = x
Then, replace x with f(x) and y with x and you have an inverse function.
f(x)= ((x -10)/5)^(1/3)

-Vlad