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f(x) =  2 cot 3x please someone help me find the domain and range of this functions
 one year ago
 one year ago
f(x) =  2 cot 3x please someone help me find the domain and range of this functions
 one year ago
 one year ago

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AhaanomegasBest ResponseYou've already chosen the best response.0
Do you know the domain and rain for cot?
 one year ago

marasofia1616Best ResponseYou've already chosen the best response.0
that its undefined because its domain in standard form is all real #s except pi? I am not sure, I am guessing
 one year ago

TonksBest ResponseYou've already chosen the best response.0
Right, the domain of cot(x) is all reals except for integer multiples of pi. So not at 0, pi, 2pi, ...
 one year ago

TonksBest ResponseYou've already chosen the best response.0
So if this is cot(3x), then 3x cannot equal n*pi. Now solve for x
 one year ago

marasofia1616Best ResponseYou've already chosen the best response.0
do I solve for x by setting 3x = 0?
 one year ago

AhaanomegasBest ResponseYou've already chosen the best response.0
No. What @Tonks means is "solve of x in terms of n and pi", I believe. He's stating an easy statement in a very formal manner.
 one year ago

TonksBest ResponseYou've already chosen the best response.0
No, I mean in a statement like 3x = n*pi, isolate x on one side and everything else on the other by dividing by 3...
 one year ago

AhaanomegasBest ResponseYou've already chosen the best response.0
Yep. Exactly what I said. ;)
 one year ago

marasofia1616Best ResponseYou've already chosen the best response.0
Ok, but how do I get the domain or range from that?
 one year ago

AhaanomegasBest ResponseYou've already chosen the best response.0
Take the domain of the basic function and think of it geometrically.
 one year ago

TonksBest ResponseYou've already chosen the best response.0
dw:1350961916817:dw Here is cotx
 one year ago

TonksBest ResponseYou've already chosen the best response.0
Now if you are familiar with transformations, then you know a multiple of x compresses the graph along the xaxis
 one year ago

TonksBest ResponseYou've already chosen the best response.0
That compression will move the asymptotes, like an accordion, toward the origin.
 one year ago
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