Answer
4
Work Step by Step
We are given that $g(x)=-x^{2}+4x+1$. In order to evaluate the function at x=3, we can plug in 3 to the function and evaluate directly.
$g(3)=-x^{2}+4x+1=-(3)^{2}+4(3)+1=-(9)+12+1=-9+12+1=4$
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