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

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt