Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.6 Phase Shift; Sinusoidal Curve Fitting - 6.6 Assess Your Understanding - Page 430: 41

Answer

$f^{-1}(x)=\frac{2x-9}{4}$

Work Step by Step

$f(x)=\frac{4x+9}{2} \longrightarrow y=\frac{4x+9}{2} \longrightarrow x=\frac{4y+9}{2} \longrightarrow y=\frac{2x-9}{4} \longrightarrow f^{-1}(x)=\frac{2x-9}{4}$
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