Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.2 - Composite and Inverse Functions - Exercise Set - Page 686: 1

Answer

a) 2x+14 b) 2x+7 c) 18

Work Step by Step

a) f(g(x)) = f(x+7). Since f(x)=2x, f(x+7) = 2(x+7) = 2x+14 b) g(f(x)) = g(2x). Since g(x)=x+7, g(2x) = 2x+7 c) f(g(2)) and g(x) = x+7, g(2) = 2+7=9. So f(9) = 2(9)=18
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