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