Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.3 Logarithmic Functions - 4.3 Exercises - Page 446: 70

Answer

$f(x)=-\log_{2}(-x+5)\ $

Work Step by Step

Based on the given graph and data points, it is possible to obtain the curve with $y=log_2(x)$, reflect across the y-axis, shift 5 units to the right, then reflect across the x-axis, thus $f(x)=-\log_{2}(-x+5)\ $
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