Answer
$g(x) = x^2 + 2x$
Work Step by Step
$f(x) = 2x + 1$, $h(x) = 2x^2 + 4x + 1$
$f (g(x)) = h(x)$
$2(g(x)) + 1 = 2x^2 + 4x + 1$
$2(g(x)) = 2x^2 + 4x + 1 - 1$
$g(x) = \frac{2x^2 + 4x}{2} = x^2 + 2x$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 0 - Before Calculus - Chapter 0 Review Exercises - Page 47: 16
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