How do you find the inverse of f(x) = 1-x^3?

1 Answer
Nov 16, 2015

f^(-1)(x)=root(3)(1-y)

Explanation:

f(x)=1-x^3
One method of finding the inverse of function is by changing the function definition.

Here:
y=1-x^3

We will now try to write it for x

Adding x^3 on both sides of equation
y+x^3=1
Subtracting y from both sides
x^3=1-y
Taking cube-root on both sides
x=root(3)(1-y)

Hence,
f^(-1)(x)=root(3)(1-y)