# How do you find the asymptotes for  f(x)=x/(x-7)?

Jan 30, 2016

vertical asymptote x = 7 , horizontal asymptote y = 1

#### Explanation:

Find vertical asymptotes when denominator of a

rational function is zero.

so equate : x - 7 = 0 → x = 7

If the degree of the numerator and the degree of the

denominator are equal a horizontal asymptote exists.

Here they are both of degree 1 and so equal.

To obtain equation take the ratio of coefficients of
hence $y = \frac{1}{1} \Rightarrow y = 1$