Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.5 The Graph of a Rational Function - 3.5 Assess Your Understanding - Page 255: 2

Answer

$-1, \frac{1}{2}$.

Work Step by Step

$\frac{x-3}{x^2+1}=-2 \Longrightarrow x-3=-2x^2-2 \Longrightarrow 2x^2+x-1=0 \Longrightarrow (2x-1)(x+1)=0 \Longrightarrow x=-1, \frac{1}{2}$. Check, both fit.
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