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: 34


$=2, \displaystyle \quad x\neq-\frac{4}{3}$

Work Step by Step

The fractions have a common denominator, we add the numerators... $\displaystyle \frac{3x+2}{3x+4}+\frac{3x+6}{3x+4}=\frac{3x+2+3x+6}{3x+4}$ $=\displaystyle \frac{6x+8}{3x+4}$ ... factor what we can... $=\displaystyle \frac{2(3x+4)}{(3x+4)}$ ... exclude values that yield 0 in the denominator: $x\displaystyle \neq-\frac{4}{3}$ ... and, cancel the common factor $=2, \displaystyle \quad x\neq-\frac{4}{3}$
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