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: 29


(a) -3 (b) -45

Work Step by Step

We are given: $f(x)=2x-3$ and $g(x)=4-x^2$ We evaluate: (a) $(f\circ g)(-2)=f(g(-2))=f(4-(-2)^{2})=f(4-4)=f(0)=2(0)-3=0-3=-3$ (b) $(g\circ f)(-2)=g(f(-2))=g(2(-2)-3)=g(-4-3)=g(-7)=4-(-7)^{2}=4-49=-45$
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