Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.6 - Rational Expressions - Exercise Set - Page 84: 33


$=2, \displaystyle \quad x\neq-\frac{5}{6}$

Work Step by Step

The fractions have a common denominator, we add the numerators... $\displaystyle \frac{4x+1}{6x+5}+\frac{8x+9}{6x+5}=\frac{4x+1+8x+9}{6x+5}$ $=\displaystyle \frac{12x+10}{6x+5}$ ... factor what we can... $=\displaystyle \frac{2(6x+5)}{(6x+5)}$ ... exclude values that yield 0 in the denominator: $x\displaystyle \neq-\frac{5}{6}$ ... and, cancel common factors $=2, \displaystyle \quad x\neq-\frac{5}{6}$
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