Answer
a. $x$
b. $x$
c. $2$
d. $2$
Work Step by Step
Given $f(x)=2x-3$ and $g(x)=\frac{x+3}{2}$, we have:
a. $(f\circ g)(x)=2(\frac{x+3}{2})-3=x$
b. $(g\circ f)(x)=\frac{2x-3+3}{2}=x$
c. $(f\circ g)(2)=2$
d. $(g\circ f)(2)=2$
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: 63
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