Question

How do you find the asymptotes for `(x-3)/(x-2)`?

Answer 1

Vertical asymptotes occur when the denominator of the
rational function is `0`.

In this question this would occur when `x - 2 = 0` i.e, `x = 2`

[ Horizontal asymptotes can be found when the degree of the

numerator and the degree of the denominator are equal. ]

Here they are both of degree `1` and so are equal.

The horizontal asymptote is found by taking the ratio of leading

coefficients .

hence y`=1/1 = 1`