Question

Identify the asymptotes of

Answer 1

x=-1 vertical

y=4 horizontal

Explanation:

The vertical asymptote if it exist will be the x's such that it makes your fraction undefined. You cannot divide by 0. So 2/(x+1) will be undefined when x=-1.

x=-1 is your vertical asymptote.

Now a fraction will only be 0 when the top is 0. 2/(x+1) will therefore never be 0 because the numerator will never be 0.

So since 2/(x+1) is never 0, you have 2/(x+1) + 4 is never 4.

So the horizontal asymptote is y=4.