Answer
$(f\circ g)(4)=-5$
Work Step by Step
The given functions:
$$f(x)=2x-3~~~~~~~~g(x)=-x+3$$
Composition of functions:
$$(f\circ g)(x)=f(g(x))=2(-x+3)-3=$$
$$=-2x+6-3=-2x+3$$
Substitute $x=4$ in composition:
$$(f\circ g)(4)=-2\cdot4+3=-5$$
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: 47
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