Answer
(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) $(g\circ f)(-2)=g(f(-2))=g(2(-2)-3)=g(-4-3)=g(-7)=4-(-7)^{2}=4-49=-45$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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
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