College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.7 - Combining Functions - 2.7 Exercises - Page 252: 32


a) $f(f(x))=4x-9$ b) $g(g(x))=-x^4+8x^2-12$

Work Step by Step

We find the composite functions as follows: a) $f(f(x))=f(2x-3)=2(2x-3)-3=4x-6-3=4x-9$ b) $g(g(x))=g(4-x^2)=4-(4-x^2)^2=4-(16-8x^2+x^4)=-x^4+8x^2-12$
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