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 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set: 110

Answer

$(f+g)(x)=\dfrac{3x^2-x+1}{x}$

Work Step by Step

Since $(f+g)(x)=f(x)+g(x),$ with $f(x)=3x-1$ and $g(x)=\dfrac{1}{x},$ then \begin{array}{l}\require{cancel} (f+g)(x)=f(x)+g(x) \\\\ (f+g)(x)=3x-1+\dfrac{1}{x} \\\\ (f+g)(x)=(3x-1)\cdot\dfrac{x}{x}+\dfrac{1}{x} \\\\ (f+g)(x)=\dfrac{3x^2-x}{x}+\dfrac{1}{x} \\\\ (f+g)(x)=\dfrac{3x^2-x+1}{x} .\end{array}
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