Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - 4.2 Properties of Rational Functions - 4.2 Assess Your Understanding - Page 199: 66

Answer

Answer may vary. $R(x)= \frac{2x^2-x}{x-1}$

Work Step by Step

Answer may vary. The oblique asymptote should be the quotient of the division, thus $R(x)=\frac{p(x)}{q(x)}=2x+1+\frac{r(x)}{q(x)}$. For example, let $q(x)=x-1$ and $r(x)=1$, we have $R(x)=2x+1+\frac{1}{x-1}=\frac{2x^2-x}{x-1}$
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