Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.2 Multiplication and Division - 6.2 Exercise Set - Page 386: 92

Answer

$x+3$ is never a denominator.

Work Step by Step

The three values of the function make the denominator of the original fractions zero, or they make the denominator of the reciprocal of the second fraction zero. However, since the first fraction never is flipped, $x+3$ is never a denominator, so $x=-3$ is a valid solution.
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