Limits Continuity And Differentiability

Let \(g(x)\) be a linear function and $$f(x)=\left\{\begin{array}{cl}g(x) & , x \leq 0 \\ \left(\frac{1+x}{2+x}\right)^{\frac{1}{x}} & , x>0\end{array}\right.$$, is continuous at \(x=0\). If \(f^{\prime}(1)=f(-1)\), then the value \(g(3)\) is