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) $(g\circ g)(-1)=g(g(-1))=g(4-(-1)^{2})=g(4-1)=g(3)=4-3^{2}=4-9=-5$
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: 30
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