Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.1 - The Algebra of Functions - Practice - Page 838: 1

Answer

a) $4x+2$ b) $-2x+4$ c) $3x^2+8x-3$ d) $(x+3)/(3x-1)$

Work Step by Step

a) $(f+g)(x) = f(x)+g(x) = x+3+3x-1=4x-2$ b) $(f-g)(x) = f(x)-g(x) = (x+3)-(3x-1) = -2x+4$ c) $(f*g)(x) = f(x)g(x) = (x+3)(3x-1) = 3x^2+8x-3$ d) $(f/g)(x) = f(x)/g(x) = (x+3)/(3x-1)$
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