Answer
$(g\circ g)(-2)=-2$
Work Step by Step
The given functions:
$$f(x)=2x-3~~~~~~~~g(x)=-x+3$$
Composition of functions:
$$(g\circ g)(x)=g(g(x))=-(-x+3)+3=$$
$$=x-3+3=x$$
Substitute $x=-2$ in composition:
$$(g\circ g)(-2)=-2$$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 2 - Section 2.8 - Function Operations and Composition - 2.8 Exercises - Page 268: 54
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