Answer
$g(3)=-9$
Work Step by Step
Substituting $x=3$ in the given function $g(x)=-x^2-2x+6,$ then $g(3)$ evaluates to
\begin{array}{l}\require{cancel}
g(3)=-(3)^2-2(3)+6
\\\\
g(3)=-9-6+6
\\\\
g(3)=-9
.\end{array}
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