Looking for the slant asymptote of a rational function?

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To find a rational function with a slant asymptote of y = 2x + 12, one must perform polynomial long division. The discussion highlights that there are multiple valid rational functions that can yield the same slant asymptote, depending on the remainder from the division process. It also notes that the question is somewhat confusing and has been previously addressed, indicating a potential redundancy in the inquiry. Understanding the reverse process of finding a slant asymptote through long division is essential for solving this type of problem. Overall, the conversation emphasizes the importance of clarity in mathematical queries.
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Homework Statement



find the rational function with the slant asymptote of y = 2x + 12. The attempt at a solution

(2x +1) + something over something
 
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lostfan176 said:
find the rational function with the slant asymptote of y = 2x + 1

This wording is confusing. There's not just one answer to this question, but many answers. The "something over something" part is the remainder after long division.

Do you know how to find the slant asymptote of a function using long division? This is the reverse of that process.
 
This is a duplicate of a question that was posted yesterday. The OP seemed to have solved it. I don't know why it was posted again.
 

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