Answer:

Step-by-step explanation:
This is horizontal parabola.
It has a directrix at x=-6.
The vertex is (0,0).
The focus is (6,0)
The equation of this parabola is of the form

Where (p,0) is the focus
By comparison, p=6
Therefore the equation of the parabola is

This implies that

F(x) / g(x) = (2x + 3)(x-2)/(x-2)(x+2) = (2x+3)/(x+2)