Finding the Inverse of a Cubic Function f(x) = x^3 - 10

Published on September 4, 2026

Functions

Learn how to find the inverse function f^(-1)(x) for the given cubic function f(x) = x^3 - 10 by swapping variables and solving for y, resulting in the cube root expression.

Question

Answer

To find the equation for the inverse function

, follow these steps:

Replace with :
Interchange and to begin finding the inverse:
Solve for :
Add to both sides:

Take the cube root of both sides:
Replace with :

Final Answer:

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