Question 8

Let $f : \mathbb{R} \to \mathbb{R}$ be a function such that $f(x+y) = f(x) + f(y)$ for all $x, y \in \mathbb{R}$, and $g : \mathbb{R} \to (0, \infty)$ be a function such that $g(x+y) = g(x)g(y)$ for all $x, y \in \mathbb{R}$. If $f(-\frac{3}{5}) = 12$ and $g(-\frac{1}{3}) = 2$, then the value of $(f(\frac{1}{4}) + g(-2) - 8) g(0)$ is _______.