Find the inverse of f: R→R given by f(x) = x³ – 2

Answer 1

To find the inverse of f(x) = y = x³ – 2
1. switch x and y
x = y³ – 2
2. Solve for y in terms of x
y=∛(x+2)
3. Plot both f(x) and f^-1(x) on a graph. They should be mirror images of each other about y=x.
Also, this helps to check the domain and range of f^-1(x).
In this case, f^-1(x) is still R->R.

Answer 2

OK Thank you!