Math  /  Algebra

QuestionFind the vertical, horizontal, and oblique asymptotes, if any, of the following rational function. Q(x)=5x229x63x217x6Q(x)=\frac{5 x^{2}-29 x-6}{3 x^{2}-17 x-6}
Find the vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one vertical asymptote, \square . (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two vertical asymptotes. The leftmost asymptote is \square and the rightmost asymptote is \square . (Type equations. Use integers or fractions for any numbers in the equations.) C. The function has no vertical asymptote.

Studdy Solution
Our function has *one* vertical asymptote at x=13x = -\frac{1}{3} and a horizontal asymptote at y=53y = \frac{5}{3}.
There are no oblique asymptotes.
So, the answer is **A.
The function has one vertical asymptote, x=13x = -\frac{1}{3}.**

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