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Problems 107-110 are based on material learned earlier in the

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Problems 107-110 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the domain of R ( x ) = 6 x 2 − 11 x − 2 2 x 2 − x − 6 . Find any horizontal, vertical, or oblique asymptotes.

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Problems 107-110 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the domain of R ( x ) = 6 x 2 − 11 x − 2 2 x 2 − x − 6 . Find any horizontal, vertical, or oblique asymptotes.

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Text solutionVerified

Step 1. Factor the function to get

R (x) = \frac{( 6 x + 1 ) ( x - 2 )}{( 2 x + 3 ) ( x - 2 )} = \frac{6 x + 1}{2 x + 3}, (x \neq = 2)

Step 2. We can determine the domain as

(- \infty, - \frac{3}{2}) U (- \frac{3}{2}, 2) U (2, \infty)

Step 3. We can identify a horizontal asymptote

y = 3

and a vertical asymptote

x = - \frac{3}{2}

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Question Text	Problems 107-110 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the domain of R ( x ) = 6 x 2 − 11 x − 2 2 x 2 − x − 6 . Find any horizontal, vertical, or oblique asymptotes.
Topic	All Topics
Subject	Pre Calculus
Class	Class 11
Answer Type	Text solution:1

Text solutionVerified

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