Answer
$g(-x)=-x^2-4x+1$
Work Step by Step
To find the value of $g(-x)$, substitute $-x$ to $x$ in $g(x)$ to obtain:
$g(x)=-x^2+4x+1
\\g(-x)=-(-x)^2+4(-x)+1
\\g(-x)=-x^2-4x+1$
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