Question 1197629
For x to extreme left or extreme right, f(x) approaches 1, since the x^2 dominates in both numerator and denominator.


The function also expressed as  {{{((x+6)(x-5))/((x-5)(x+3))}}}.   Consider what happens near {{{x=-6}}} and at {{{x=-3}}}.   ESPECIALLY at {{{x=-3}}}.