Answer
2.75
Work Step by Step
We are given that $g(x)=-x^{2}+4x+1$. In order to evaluate the function at x=.5, we can plug in .5 to the function and evaluate directly.
$g(.5)=-x^{2}+4x+1=-(.5)^{2}+4(.5)+1=-(.25)+2+1=-.25+2+1=2.75$
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