Answer
$(f\circ f)(2)=-1$
Work Step by Step
The given functions:
$$f(x)=2x-3~~~~~~~~g(x)=-x+3$$
Composition of functions:
$$(f\circ f)(x)=f(f(x))=2(2x-3)-3=$$
$$=4x-6-3=4x-9$$
Substitute $x=2$ in composition:
$$(f\circ f)(2)=4\cdot2-9=-1$$
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: 53
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