$$f, g : R \to R$$ be two real valued functions defined as $$f(x) = \begin{cases} -|x+3| & x < 0 \\ e^x & x \geq 0 \end{cases}$$ and
$$g(x) = \begin{cases} x^2 + k_1 x & x < 0 \\ 4x + k_2 & x \geq 0 \end{cases}$$, where $$k_1$$ and $$k_2$$ are real constants. If $$gof$$ is differentiable at $$x = 0$$, then $$gof(-4) + gof(4)$$ is equal to

A

$$4(e^4 + 1)$$

B

$$2(2e^4 + 1)$$

C

$$4e^4$$

D

$$2(2e^4 - 1)$$