Question 864686
we require that
(x+2)/(x-3) > 0


and we check 3 intervals:  

x < -2 leads to

(-)/(-) => (+) True

-2 < x < 4 leads to

(+)/(-) => (-) False

x>3 leads to

(+)/(+) => (+) True

so the domain is

(-oo,-2)U(3,oo)