The question is asking us to divide the function f(x) by the function g(x).
Knowing this, we can perform the division:
(2x+1)/(x^2-7) = (f/g)(x)
The simplest answer is [tex] \frac{2x+1}{ x^{2} - 7} [/tex], as there is no way to further simplify the problem. This means that there is a discontinuity where [tex]x = \sqrt{7} [/tex], as it is impossible to divide by 0.
