Determine the location of the vertical asymptote(s) if they exist?

Question

F(x)= x-5 / x+2

Answer 1

if you mean:
F(x)= (x-5) / (x+2) (without the parenthesis it is a very different question!!!!!)
then you need to check lim x ->-2 F(x) = undefined,
therefore x=-2 is a vertical asymptote

Answer 2

x=-2 and horizontal asymptote y=1