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: 30

Answer

(a) -13 (b) -5

Work Step by Step

We are given: $f(x)=2x-3$ and $g(x)=4-x^2$ We evaluate: (a) $(f\circ f)(-1)=f(f(-1))=f(2(-1)-3)=f(-2-3)=f(-5)=2(-5)-3=-13$ (b) $(g\circ g)(-1)=g(g(-1))=g(4-(-1)^{2})=g(4-1)=g(3)=4-3^{2}=4-9=-5$
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