Answer
(a) -1
(b) -21
Work Step by Step
We are given:
$f(x)=2x-3$ and $g(x)=4-x^2$
We evaluate:
(a) $f(f(2))=f(2*2-3)=f(1)=2*1-3=-1$
(b) $g(g(3))=g(4-3^{2})=g(4-9)=g(-5)=4-(-5)^{2}=-21$
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: 28
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