Answer
$(f-g)(x)= -x^2-2x+8$
Work Step by Step
RECALL:
$(f-g)(x) = f(x) - g(x)$
Using the formula above gives:
$(f-g)(x) = (-2x+3)-(x^2-5)
\\(f-g)(x)= -2x+3-x^2-(-5)
\\(f-g)(x)= -2x+3-x^2+5
\\(f-g)(x)= -x^2-2x+8$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 7 - Functions and Graphs - 7.4 The Algebra of Functions - 7.4 Exercise Set - Page 476: 18
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