Answer
a. $3x-15$
b. $3x-5$
c. $-9$
d. $1$
Work Step by Step
Given $f(x)=3x$ and $g(x)=x-5$, we have:
a. $(f\circ g)(x)=3(x-5)=3x-15$
b. $(g\circ f)(x)=3x-5$
c. $(f\circ g)(2)=3(2)-15=-9$
d. $(g\circ f)(2)=3(2)-5=1$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 258: 52
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