Respuesta :

Answer:

y = 0

Step-by-step explanation:

Given a rational function

f(x) = [tex]\frac{g(x)}{h(x)}[/tex]

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)

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