Answer
$-x^{2}+x-7$
Work Step by Step
We know that $(f-g)(x)=f(x)-g(x)$.
Therefore, $(f-g)(x)=f(x)-g(x)=(x-6)-(x^{2}+1)=-x^{2}+x+(-6-1)=-x^{2}+x-7$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Sections 9.1-9.6 - Integrated Review - Functions and Properties of Logarithms - Page 579: 2
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