Looking for the slant asymptote of a rational function?

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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.