Answer
$ f^{-1}(x)=\sqrt[3] {x+3}$
Work Step by Step
To find the inverse, follow these steps:
$f(x)=x^3-3 \longrightarrow y=x^3-3 \longrightarrow x=y^3-3 \longrightarrow y=\sqrt[3] {x+3} \longrightarrow f^{-1}(x)=\sqrt[3] {x+3}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.