#### Answer

$-x^{2}-4x+1$

#### Work Step by Step

We are given that $g(x)=-x^{2}+4x+1$. In order to evaluate the function at $-x$, we can plug in $-x$ to the function and evaluate directly.
$g(-x)=-(-x)^{2}+4(-x)+1=-x^{2}-4x+1$

Published by
Pearson

ISBN 10:
0321969359

ISBN 13:
978-0-32196-935-4

$-x^{2}-4x+1$

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