Question

What is the slant asymptote for x^2/(x-9) ??

Answer 1

umm r u referring to the vertical and horizontal asymptote?

Answer 2

It's not x+9? slant/oblique

Answer 3

lol never heard of these terms :)

Answer 4

wt do u mean by not x+9

Answer 5

The answer is not x_9

Answer 6

x+9*

Answer 7

The slant or oblique asymptote has equation y = x + 9.

Divide (x-9) into (x^2 +0x+0) and see the quotient "on top only" of x + 9. There are more sophisticated ways to obtain the equation.

Regardless, there's good reading on finding equations of slant asymptotes at the link:

http://www.purplemath.com/modules/asymnote.htm

If the degree is higher on top, then the division gives a polynomial whose degree is the difference between the degrees of the numerator and denominator. Since you'll only be doing rationals where the numerator's degree is at most 1 greater than the denominator's degree, then the division will only give you, at most, a linear (straight-line) expression. For instance, ... continued at the link.