Answer
$g\left( \dfrac{1}{2} \right)=\dfrac{11}{4}$
Work Step by Step
Substituting $x$ with $
\dfrac{1}{2}
$ in the given function, $
g(x)=-x^2+4x+1
,$ then,
\begin{array}{l}\require{cancel}
g\left( \dfrac{1}{2} \right)=-\left( \dfrac{1}{2} \right)^2+4\left( \dfrac{1}{2} \right)+1
\\\\
g\left( \dfrac{1}{2} \right)=-\dfrac{1}{4}+2+1
\\\\
g\left( \dfrac{1}{2} \right)=\dfrac{11}{4}
.\end{array}