Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - 7.4 The Algebra of Functions - 7.4 Exercise Set: 36

Answer

$\dfrac{10+3x}{2x^2}$

Work Step by Step

RECALL: $(f+g)(x) = f(x)+g(x)$ Using the formula above gives: $(r+t)(x) \\= r(x)+t(x) \\=\dfrac{5}{x^2}+\dfrac{3}{2x}$ Make the expressions similar using their LCD $2x^2$ $=\dfrac{5(2)}{x^2(2)}+\dfrac{3(x)}{2x(x)} \\=\dfrac{10}{2x^2}+\dfrac{3x}{2x^2} \\=\dfrac{10+3x}{2x^2}$
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