QPaperGen

\[
g'(x) = \frac{1}{2} - \frac{2}{x^2}
\Rightarrow g'(x) = 0 \Rightarrow \frac{1}{2} = \frac{2}{x^2}
\Rightarrow x^2 = 4 \Rightarrow x = 2 \, (\text{since } x > 0)
\]
\[
g''(x) = \frac{4}{x^3}
\Rightarrow g''(2) = \frac{4}{8} = \frac{1}{2} > 0 \Rightarrow \text{Local minimum}
\Rightarrow g(2) = 1 + 1 = 2
\]