Confirming and asking questions

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Not sure where I made the mistake?

1. for f(x)=[2x-4]/[x^2-x-2], which of the following is true?
I. f(x) has no relative extrema
II. There are vertical asymptotes at x=2 and x=-1
III. There is a horizontal asymptote at y=0

My answer:
Only II & III because i don't get how one is right?

what I did was:
f'=[2x^2+8x-8]/[x^2-x-2]^2
is that the right answer for the derivative? because if it is, wouldn't u be able to find x by setting the top part = to 0?
 
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You are unlikely to get any help unless you show how you got the answers you are showing.

Also, for your last two questions, the purpose of this forum is NOT to do people's work for them. If you want some help, show what you have done and we will help you out.
 
I don't particularly mind people seeking to confirm their answers, especially if (like in this case) getting to them takes only ten seconds. I'll tell the OP that he got the second question right and the first one wrong. (Hint: II is true, but it's not the only true statement.)

However, what's absolutely not permissible is posting entire questions here and saying "Please show work!". YOU, the OP, should be the one showing work! Tell us what you've tried and where you're stuck and we'll help you.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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