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anonymous
 4 years ago
Identify the Horizontal Asymptotes of
g(x) = (3x+2)/((x^2)+4)^(1/2))
anonymous
 4 years ago
Identify the Horizontal Asymptotes of g(x) = (3x+2)/((x^2)+4)^(1/2))

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1321422281732:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The answer is at 3 and 3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how would I go about finding those answers? :/ my teacher hasn't taught us how to find it with radicals in the denominator, so I'm lost.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well you look at the ratio of the exponents. The numerator is 3x and the denomintor will just be x. it is x^(2*1/2) = x so the ratio is just 3x/x. As x goes to infinity you get a horizontal asymptote of 3 As x goes to negative infinity you get a horizontal asymptote of 3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0understand? I know it probably sounds very confusing

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I kind of get it, but would it just be 3, then because if I substitute a large negative number for x it is a negative over a negative, and I would still get a positive 3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0if you know how to differentiate it , then differentiate it w.r.t x and equate the answer to 0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i dont think she is at that type of math yet, that will be too complex at this point

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry guys i am new to this so i do not know your standards

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0No the answer will be 3 as you approach infinity because you need to take into account the ratio 3/1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the top will outdo the bottom in this case, a very large negative number times 3 will approach 3 faster then the denomnator will reduce it to 3. Understand? it is confusing but take a second to think about it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It's alright, thank you for trying to explain it to me Asanka. I think I just visualized it, and it seems to make sense if the numerator is going three times as fast. Thanks a lot for all your help :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0exactly you got it! anytime

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I am attaching the solution hoping it will help

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Nice work! very neat.. but you can just look at the ratio of like exponents to make it a little easier, but either way nice job
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