What is the rational function with a slant asymptote of y = 2x + 1?

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lostfan176
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1. Homework Statement

find the rational function with the slant asymptote of y = 2x + 1


2. The attempt at a solution

(2x +1) + something over something
 
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There's no unique rational function. There's tons of them. Start with y=2x+1 and add a fraction that goes to zero as x->infinity (or where ever you want your asymptote).
 
thz i figured it out it sid make up a functions but thanks anyway