# How do I identify the horizontal asymptote of #f(x) = (7x+1)/(2x-9)#?

##### 1 Answer

Mar 9, 2018

We have a horizontal asymptote

#### Explanation:

As the degree of polynomial in the numerator is equal to the degree of polynomial in the denominator, there is indeed a horizontal asymptote. We can find this by dividing each term in numerator and denominator by this highest degree and find limit as

Now

=

=

Hence, we have a horizontal asymptote

graph{(y-(7x+1)/(2x-9))(y-3.5)=0 [-40.42, 39.58, -17.76, 22.24]}