Question

Identify the oblique asymptote of f(x) =

Answer 1

The numerator is a degree of 2, higher than the denominator's degree of 1, so there is a oblique (slant) asymptote, which is the quotient.

use long division to find the quotient:
                  x   +8
      _____________________
x-2 I  x²  +6x   -9
         x²   -2x
         ----------
                 8x   -9   

you don't have to finish, because the remainder doesn't matter. the answer is y=x+8