Question

How do you find the vertical, horizontal or slant asymptotes for `(x^2 - 5x + 6)/( x - 3)`?

Answer 1

`y = 1`, at x = 3 and `y = x-2, x ne 3 to y = x-2`, for `x in R`.

No asymptotes.

Explanation:

As `y = ((x-2)(x-3))/(x-3)`, we can redefine y as follows.

`y = 1`, at x = 3 and

`y = x-2, x ne 3`