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

Vertical asymptotes are given by values making zero denominator. In this case $x = 0$ and $x = - 4$
Horizontal asymptotes are given by ${\lim}_{x \to \infty} f \left(x\right) = L$ then y=L is an asymtote
In our case ${\lim}_{x \to \infty} \frac{x + 1}{x \left(x + 4\right)} = 0$ So Y=0 is an horizontal asymptote graph{(x+1)/(x(x+4)) [-6.24, 6.244, -3.12, 3.12]}