What is the horizontal asymptote y of r(x) = (x + 1)(x - 2)/(x + 2)(x - 9)?

Question

I need help please!

Answer 1

r(x) = (x + 1)(x - 2) / (x + 2)(x - 9)
r(x) = (x² - x - 2) / (x² - 7x - 18)

 

Since the degree of the polynomial in the numerator is the same as the degree of the polynomial in the denominator, the limit is a/b where a is the leading coefficient of the numerator and b is the leading coefficient of the denominator.

 

The asymptote is r(x) = 1.