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

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