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

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Ahaanomegas
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know the domain and rain for cot?

marasofia1616
 2 years ago
Best ResponseYou've already chosen the best response.0that its undefined because its domain in standard form is all real #s except pi? I am not sure, I am guessing

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

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

marasofia1616
 2 years ago
Best ResponseYou've already chosen the best response.0do I solve for x by setting 3x = 0?

Ahaanomegas
 2 years ago
Best ResponseYou've already chosen the best response.0No. 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.

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

Ahaanomegas
 2 years ago
Best ResponseYou've already chosen the best response.0Yep. Exactly what I said. ;)

marasofia1616
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, but how do I get the domain or range from that?

Ahaanomegas
 2 years ago
Best ResponseYou've already chosen the best response.0Take the domain of the basic function and think of it geometrically.

Tonks
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1350961916817:dw Here is cotx

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

Tonks
 2 years ago
Best ResponseYou've already chosen the best response.0That compression will move the asymptotes, like an accordion, toward the origin.
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