Algebra and Trigonometry 10th Edition

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

Chapter 5 - 5.2 - Logarithmic Functions and Their Graphs - 5.2 Exercises - Page 380: 85

Answer

False

Work Step by Step

False. The reflection of $g(x)=6^x$ in the $x$-axis where the function $f$ must be symmetric with $g$ with respect to $x$-axis is: $$-f(x)=6^x$$ $$f(x)=-6^x$$ so not the function $f(x)=\log_6 x$.
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