College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 407: 46

Answer

shift the graph of $f(x)=\displaystyle \frac{1}{x}$ to the right by 2 units please see image

Work Step by Step

(Work done in online calculator desmos.com) Let $f(x)=\displaystyle \frac{1}{x}$ (graph: blue, dashed) $g(x)=\displaystyle \frac{1}{x-2}=f(x-2)$ So, the graph of g (red, solid line) is obtained by shifting the graph of $f(x)=\displaystyle \frac{1}{x}$ to the right by 2 units please see image
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