Question

How do you find the asymptotes of `y=(x+1)/(x(x+4))`?

Answer 1

See process below

Explanation:

Vertical asymptotes are given by values making zero denominator. In this case `x=0` and `x=-4`

Horizontal asymptotes are given by `lim_(xtooo)f(x)=L` then y=L is an asymtote

In our case `lim_(xtooo)(x+1)/(x(x+4))=0` So Y=0 is an horizontal asymptote graph{(x+1)/(x(x+4)) [-6.24, 6.244, -3.12, 3.12]}