Suppose F(x) = (x^2)/(x^2-7), and the F(x)=(hog)(x). Then which of the following are possible definitions for h and g?

EXPLANATION
If F(x) = x^2/(x^2-7) and F(x) is a composed function with the next form: F(x) = (hog)(x), the possible definitions for h and g are the following:
Option I, III and IV only, hence the appropiate answer is the option D