If \(f(x) = \frac{2x-8}{x^2 -2x - 3} \qquad\text{ and }\qquad g(x) = \frac{3x+9}{2x-4}\) find the sum of the values of x where the vertical asymptotes of f(g(x)) are located.

Find the sum of the values of x where the vertical asymptotes of f(g(x)) are located.