Answer
$$y=-\sqrt[3]{\frac{x-1}{2}}$$
Work Step by Step
Switching the elements of the domain and the range (in other words, the dependent and independent variables), we find that the inverse is:
$$x=-2y^3+1 \\ y=-\sqrt[3]{\frac{x-1}{2}}$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 7 Exponential and Logarithmic Functions - Prerequisite Skills - Page 476: 8
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