2. The functions \(f\) and \(g\) are defined by $$\begin{aligned} & \mathrm { f } : x \rightarrow 1 - a x , \quad x \in \mathbb { R } ,
& \mathrm {~g} : x \rightarrow x ^ { 2 } + 2 a x + 2 , \quad x \in \mathbb { R } , \end{aligned}$$ where \(a\) is a constant.

1. Find the range of g in terms of \(a\). Given that \(\operatorname { gf } ( 3 ) = 7\),
2. find the two possible values of \(a\).