Answer
$g(10)=-59$
Work Step by Step
To find the value of $g(10)$, substitute $10$ to $x$ in $g(x)$ to obtain:
$g(x)=-x^2+4x+1
\\g(10)=-10^2+4(10)+1
\\g(10)=-100+40+1
\\g(10)=-60+1
\\g(10)=-59$
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