Problem
Find the inverse of the one-to-one function. \[ f(x)=\sqrt[3]{x+4} \] \[ f^{-1}(x)= \]
Solution
Step 1 ：Let \(y = \sqrt[3]{x+4}\). Then, \(y^3 = x + 4\).
Step 2 ：So, \(x = y^3 - 4\).
Step 3 ：Hence, the inverse function is given by \(f^{-1}(x) = \boxed{x^3 - 4}\).
