Answer
$$y=\sqrt[3]{x-1}$$
Work Step by Step
Finding the inverse by switching the dependent and independent variables, we find:
$$x=y^3+1 \\ y=\sqrt[3]{x-1}$$
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.