Evaluation of Nested Rational Expressions

Let $$f(x) = \f\frac{3x^2 - 12}{x^2 - 4}$$ and $$g(x) = \f\frac{x + 2}{x - 2}$$. Determine the value of the expression $$f(g(2))$$. Simplify your answer into a single fraction, and enter only the numerator of that fraction in the grid below.