Looking for the slant asymptote of a rational function?

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SUMMARY

The discussion focuses on finding a rational function that has a slant asymptote of y = 2x + 12. Participants clarify that there are multiple valid rational functions that can yield this asymptote, emphasizing the importance of the remainder obtained through long division. The conversation also notes that this question is a duplicate of a previously answered query, indicating that the solution process involves understanding the reverse of finding a slant asymptote through long division.

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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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