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: 33

Answer

$\dfrac{15}{2x^3}$

Work Step by Step

RECALL: $(f\cdot g)(x) = f(x)\cdot g(x)$ Using the formula above gives: $(r\cdot t)(x) \\= r(x)\cdot t(x) \\=\dfrac{5}{x^2} \cdot \dfrac{3}{2x} \\=\dfrac{5(3)}{x^2(2x)} \\=\dfrac{15}{2x^3}$
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