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

Appendix A - Review - A.6 Rational Expressions - A.6 Assess Your Understanding - Page A53: 42

Answer

$\dfrac{4x-5}{3x+4},x \ne -\dfrac{4}{3}$

Work Step by Step

Since the denominators are the same, we have $$ \frac{5x-4}{3x+4}-\frac{x+1}{3x+4}=\frac{5x-4-x-1}{3x+4}=\frac{4x-5}{3x+4} $$
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