Find the inverse of the one-to-one function.
\[
f(x)=\sqrt[3]{x+4}
\]
\[
f^{-1}(x)=
\]

Answer

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Answer

Hence, the inverse function is given by \(f^{-1}(x) = \boxed{x^3 - 4}\).

Steps

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 \(f^{-1}(x) = \boxed{x^3 - 4}\).