Question

Let $f:\R→\R$ be a function such that f(x + y) = f(x) + f(y) for all x, y ∈ $\R$, and $g:\R→(0,\infin)$ be a function such that g(x + y) = g(x)g(y) for all x, y ∈ $\R$. 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 ______.

Answer 1

The correct answer is: 51.