Let f, g: R → R be two real valued functions defined as f(x)= {-|x+3|, x<0; e^x, x ≥ 0} and g(x)= {x^2+ k_1 x, x<0; 4 x+ k_2, x ≥ 0}, where k_1 and…

Let $\displaystyle f, g: \mathbf{R} \rightarrow \mathbf{R}$ be two real valued functions defined as $\displaystyle f(x)=\left\{\begin{array}{ll}-|x+3|, & x<0 \\ \mathrm{e}^x, & x \geqslant 0\end{array}\right.$ and $\displaystyle g(x)=\left\{\begin{array}{ll}x^2+\mathrm{k}_1 x, & x<0 \\ 4 x+\mathrm{k}_2, & x \geqslant 0\end{array}\right.$, where $\displaystyle \mathrm{k}_1$ and $\displaystyle \mathrm{k}_2$ are real constants. If (gof) is differentiable at $\displaystyle x=0$, then $\displaystyle (g o f)(-4)+(g o f)$ ($\displaystyle 4$) is equal to :