Answer
-11
Work Step by Step
We are given that $g(x)=-x^{2}+4x+1$. In order to evaluate the function at x=-2, we can plug in 0 to the function and evaluate directly.
$g(-2)=-x^{2}+4x+1=-(-2)^{2}+4(-2)+1=-(4)+(-8)+1=-4-8+1=-11$
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