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: 42

Answer

$\frac{1}{3}+\frac{1}{\sqrt{x}}$

Work Step by Step

Splitting the fraction into a sum of fractions leaves $$=\frac{\sqrt{x}}{3\sqrt{x}}+\frac{3}{3\sqrt{x}}=\frac{1}{3} \cdot \frac{\sqrt{x}}{\sqrt{x}}+\frac{3}{3} \cdot \frac{1}{\sqrt{x}}=\frac{1}{3}+\frac{1}{\sqrt{x}}$$
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