Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - Chapter Test - Page 235: 21


$y={(\frac{x}{3})}^\frac{2}{3}$, x $\geq$ 0

Work Step by Step

Apply the horizontal line test to check that the function has an inverse. Find the inverse. $y=3x\sqrt x$ $x=3y\sqrt y$ (Interchange x and y, also x $\geq$ 0) $x^2=9y^3$ $y={(\frac{x}{3})}^\frac{2}{3}$, x $\geq$ 0
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