Question

How do you find the asymptotes for `f(x) = (x+1) / (x+2)`?

Answer 1

Vertical asymptotes will occur when the denominator is equal to 0 ...

Explanation:

Vertical Asymptote(s) :
`x+2=0`
So, one vertical at `x=-2`

Horizontal asymptote :
There can only be one or none of these. Find it by looking for the greatest exponent in the numerator and denominator. If the exponent is the same for both, then you will have a horizontal asymptote.

For this problem, the greatest exponent is 1 for both, so we have a horizontal:

horizontal : `y=x/x=1`. So, `y=1` is the horizontal.

See the graph below. The dotted lines are the asymptotes.

hope that helped