# How do you find the vertical, horizontal and slant asymptotes of: #y = (x^2 + 7)/( 5x - 4x^2)#?

##### 1 Answer

Mar 9, 2017

The vertical asymptotes are

The horizontal asymptote is

No slant asymptote

#### Explanation:

We cannot divide by

So,

Therefore,

The vertical asymptotes are

The degree of the the numerator

The horizontal asymptote is

graph{(y-(x^2+7)/(5x-4x^2))(y+1/4)(y-1000(x-5/4))=0 [-13.42, 14.3, -4.98, 8.89]}