# How to find the asymptotes of #f(x) = 3 / (3 - x)# ?

##### 1 Answer

Jan 31, 2016

vertical asymptote x = 3

horizontal asymptote y=0

#### Explanation:

Vertical asymptotes can be found when the denominator

of a rational function is zero.

hence 3 - x = 0 → x = 3 is a vertical asymptote.

[ If the degree of the numerator is less than the degree of

the denominator of a rational function then y = 0 is a

horizontal asymptote ]here degree of numerator is 0 and degree of denominator 1

hence horizontal asymptote at y = 0

Here is the graph of the function to illustrate them.

graph{3/(3-x) [-10, 10, -5, 5]}