University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises - Page 20: 33

Answer

$y=\frac{1}{x-1}+1\quad \mathrm{or}\quad y=\frac{x}{x-1}$ $\:$ $ $
1533204413

Work Step by Step

$y=\frac{1}{x}$ Moving the graph up by $\ 1\ $ unit will change the $\ y\ \rightarrow\ y-1$. And moving it to the right by $\ 1 \ $ unit will change the $\ x\ \rightarrow\ x-1.$ So the equation of the shifted graph would be: $y-1=\frac{1}{x-1}$ $y=\frac{1}{x-1}+1$ $\mathrm{or},$ $y=\frac{x}{x-1}$
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