Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 10 - Compositions, Inverses, and Combinations of Functions - 10.3 Combinations of Functions - Exercises and Problems for Section 10.3 - Exercises and Problems - Page 421: 29

Answer

When $x=0$ , then $q(x)=3$ When $x=1$ , then $q(x)=2$ When $x=2$ , then $q(x)=2$ When $x=3$ , then $q(x)=5$ When $x=4$ , then $q(x)=3$ When $x=5$ , then $q(x)= 3$

Work Step by Step

Since, $q(x)=w^{-1}[v(x)]$ When $x=0$ , then $q(x)=w^{-1}[v(0)]=3$ When $x=1$ , then $q(x)=w^{-1}[v(1)]=2$ When $x=2$ , then $q(x)=w^{-1}[v(2)]=2$ When $x=3$ , then $q(x)=w^{-1}[v(3)]=5$ When $x=4$ , then $q(x)=w^{-1}[v(4)]=3$ When $x=5$ , then $q(x)=w^{-1}[v(5)]= 3$
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