Answer
$\frac{7}{4}$
Work Step by Step
We can find the value of $P(\frac{1}{2})$ by plugging $\frac{1}{2}$ into the formula for $P(x)$.
$P(x)=x^{2}+x+1$
$P(\frac{1}{2})=(\frac{1}{2})^{2}+\frac{1}{2}+1=(\frac{1}{2}\times\frac{1}{2})+\frac{1}{2}+1=\frac{1}{4}+\frac{1}{2}+1=\frac{1}{4}+\frac{2}{4}+\frac{4}{4}=\frac{7}{4}$
