Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - 0.4 Inverse Functions - Exercises Set 0.4 - Page 45: 13


$\ y=\ \sqrt{\frac{3}{x}}\ or\ y=\ -\sqrt{\frac{3}{x}}\\$

Work Step by Step

$\ The\ given\ function\ is\ y=\frac{3}{x^{2}}\\ \ Interchanging\ the\ variables\ x\ and\ y\ we\ get\ ,\\ \ x=\frac{3}{y^{2}}\\ \ y^{2}=\frac{3}{x}\\ \ Taking\ the\ square\ root\ on\ both\ sides\ we\ get\ ,\\ \ y=\ \sqrt{\frac{3}{x}}\ or\ y=\ -\sqrt{\frac{3}{x}}\\$
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