Answer
(a) $f(g(x))=12x+22$
(b) $g(f(x))=12x+33$
Work Step by Step
$f(x)=2x+4$
$g(x)=6x+9$
(a) Determine $f(g(x))$:
$f(g(x))=2(6x+9)+4=12x+18+4=12x+22$
(b) determine $g(f(x))$
$g(f(x))=6(2x+4)+9=12x+24+9=12x+33$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 3 - Exponents, Polynomials and Functions - 3.3 Composing Functions - 3.3 Exercises - Page 256: 1
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