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#1
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For the problem where you are to add a function to the function f(x)  =  (3x4 + 3x3 + 3x2 + 3) / (x2 + x - 2)

to end with a function that has a horizontal asymptote at zero

A function that has a horizontal asymptote at zero is one where the numerator has a degree smaller than the degree of the denominator.

So, add this function:  g(x)  =  (-3x4 - 3x3 - 3x2) / (x2 + x - 2)

This will canell the x-terms in the numerator that are at least as large as the largest degree-term of the denominator of the first function, so that the denominator now has a degree larger than that of the numerator.

After cancelling the terms that are necessary to cancel, you can also include other terms, like a constant or an x-term.

Apr 18, 2020
#2
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Thanks Geno But when you answer a repost like this can you please do it on the original question.

You can make a second post here to say that you have done that.

Spongebob you have reposted in the correct way but..

When you do reposts can you please just instruct people to answer on the original question thread.  Thanks :)

Apr 18, 2020