Question

I need the answer to the image attached
below

Answer 1

y = 0

Explanation:

Given a rational function

f(x) =
`(g(x))/(h(x))`

If the degree of g(x) < degree of h(x), then

y → 0 as x → ± ∞

Thus y= 0 ( the x- axis ) is the horizontal asymptote

For the given rational function

The numerator is of degree 2 while the denominator is of degree 3

Thus

y = 0 is the horizontal asymptote of r(x)