QuestionFind the inverse of the one-to-one function $f(x)=\sqrt[3]{x+5}$.

Studdy Solution
Finally, we subtract5 from both sides of the equation to isolate $y$.
$$y = x^3 -5$$This is the inverse of the function $f(x)=\sqrt[3]{x+5}$. We denote it as $f^{-1}(x)$.
$$f^{-1}(x) = x^3 -5$$