Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Exercises to Skills Review for Chapter 11 - Page 494: 3

Answer

$\frac{3-4x}{6x}$

Work Step by Step

Rewrite the fractions to get a common denominator. $$\frac{1}{2x}-\frac{2}{3}=\frac{3}{3(2x)}-\frac{2(2x)}{3(2x)}=\frac{3}{6x}-\frac{4x}{6x}$$ Therefore, the expression simplifies to $\frac{3-4x}{6x}$.
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