College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.1 - Composite Functions - 6.1 Assess Your Understanding - Page 408: 14

Answer

a) $95$ b) $127$ c) $17$ and d) $1$

Work Step by Step

a) $(f \space o \space g)(4)=f(g(4)); \\ f(31) =(3)(31)+2=95$ b) $(g \space o \space f)(2)=g(f(2)); \\ g(8) =(2)(64)-1=127$ c) $(f \space o \space f)(1)=f(f(1)); \\ f(5) =(3)(5)+(2)=17$ d) $(g \space o \space g)(0)=g(g(0)); \\ g(-1)=2-1=1$ Hence, a) $95$ b) $127$ c) $17$ and d) $1$
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