Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 61

Answer

please see image:
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Work Step by Step

We start with the graph of $f(x)=\log_{5}(x)$ (dashed blue). Since g(x)$=\log_{5}(-x)=f(-x)$ its graph (red) is obtained by reflecting f(x) about the y-axis. Domain of g:$\qquad(-\infty,0)$ Range of g:$\qquad(-\infty,+\infty)$ Vertical asymptote: $\qquad x=0$
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