Question

How do you find the vertical, horizontal and slant asymptotes of: `f(x)=(x + 2 )/ ( x + 3)`?

Answer 1

Below

Explanation:

`f(x)=(x+2)/(x+3)`

`f(x)=((x+3)-1)/(x+3)`

`f(x)=1-1/(x+3)`

therefore:

Vertical asymptote: `x=-3`
Horizontal asymptote: `y=1`

graph{(x+2)/(x+3) [-10, 10, -5, 5]}