State the horizontal asymptote of the rational function. for full credit, explain the reasoning you used to find the horizontal asymptote. f(x) =quantity x plus nine divided by quantity x squared plus four x plus two

F(x) =

For horizontal asymptote, evaluate only the term of the numerator (top) and denominator (bottom) that has the greatest exponent.  F(x) = .

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If n > m, the asymptote is: y = ∞, so asymptote does not exist

If n = m, then the asymptote is the ratio of the coefficients: y =

If n < m, then asymptote is: y = , so y = 0

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F(x) =   ⇒   y =  ⇒  y = 0

y = 0

this is a very good question

step-by-step explanation:

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