Determine the horizontal asymptote of the following rational function: f(x) = (3x + 2) / (x - 5) a. y = 3...

Question

13. Determine the horizontal asymptote of the following rational function: f(x) = (3x + 2) / (x - 5) a. y = 3 b. x = 5 c. x = 3 d. y = 5

SnapAndSolve AI · Accepted Answer

The horizontal asymptote of a rational function is determined by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = (leading coefficient of the numerator) / (leading coefficient of the denominator).

In this case, the degree of the numerator (3x + 2) is 1, and the degree of the denominator (x - 5) is also 1. Therefore, the horizontal asymptote is y = 3/1 = 3.

Answer: a. y = 3

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Determine the horizontal asymptote of the following rational function: f(x) = (3x + 2) / (x - 5) a. y = 3...

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