# How do you find the vertical, horizontal and slant asymptotes of: #f(x)=(x+1)/(2x+10)#?

##### 1 Answer

Jan 14, 2017

The curve is a rectangular hyperbola.

Horizontal asymptote :

Vertical asymptote :

#### Explanation:

An equation in the form

contained between the asymptotes

Here, cross multiplying and rearranging,

The asymptotes at right angles are

#2y-1)(x+5)=0, giving

Now, see the asymptotes-inclusive graph.

graph{((2y-1)(x+5)-6)(2y-1)(x+.000000001y+5)=0 [-15, 5, -7.5, 7.5]}