Answer
$f(x)=-\log_{3}(x-1)\ $
Work Step by Step
Based on the given graph and data points, it is possible to obtain the curve with $y=log_3(x)$, shift 1 unit to the right, then reflect across the x-axis, thus $f(x)=-\log_{3}(x-1)\ $
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 69
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