- The functions \(f\) and \(g\) are defined by
$$\begin{aligned}
& f : x \rightarrow 2 - x ^ { 2 } , \quad x \in \mathbb { R } ,
& g : x \rightarrow \frac { 3 x } { 2 x - 1 } , \quad x \in \mathbb { R } , \quad x \neq \frac { 1 } { 2 }
\end{aligned}$$
- Evaluate fg(2).
- Solve the equation \(\operatorname { gf } ( x ) = \frac { 1 } { 2 }\).