Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Skill Refresher - Page 101: S7



Work Step by Step

Add $(2y)^3$ to both sides to get $$x+(2y)^3=5$$ Subtract $x$ from both sides to get $$(2y)^3=5-x$$ Take the cube root of both sides to cancel the third power leaving $$2y=\sqrt[3]{5-x}$$ Divide both sides by $2$ to leave a solution of $$y=\frac{1}{2}\sqrt[3]{5-x}$$
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