Creating Rational Functions out of asymptotes

Hi. I was wondering if anyone knew how to give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4? My book doesn't explain it very well and I can't find any tutorials on the internet. If you are able to, you could please give a small explanation of how you did it so that I can try to figure out how to do the rest of them?

Thank you so much.

Re: Creating Rational Functions out of asymptotes

What **definitions** of "vertical asymptote" and "horizontal asymptote" are you using?

Do you understand that there are an infinite number of possible examples- that there is single solution?

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Re: Creating Rational Functions out of asymptotes

Quote:

Originally Posted by

**DreadfulGlory** give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4?

http://mathhelpforum.com/attachment....1&d=1347475611