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 85: 62


$\displaystyle \frac{8x+1}{4x-1}, \quad x\neq 0, \displaystyle \frac{1}{4}$

Work Step by Step

Complex rational expressions have rational expressions in the numerator or/and in the denominator. Here, both the numerator and the denominator contain $\displaystyle \frac{1}{x}$ ( 0 is excluded from the domain). Multiplying each with x would get rid of the fractions. $\displaystyle \frac{x}{x}\times\frac{8+\frac{1}{x}}{4-\frac{1}{x}}=\frac{8x+1}{4x-1}, \quad x\neq 0, \displaystyle \frac{1}{4}$
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