What is the horizontal asymptote of j times x is equal to the fraction with numerator 14 x cubed plus 45 and denominator 2 x cubed plus x plus 9 ?

The numerator and denominator both have degree 3, so the horizontal asymptote is the ratio of their leading coefficients. That ratio is 14 ÷ 2 = 7, so the horizontal asymptote is y = 7, choice C.

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