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Mathematics 14 Online
OpenStudy (anonymous):

What is the domain of the following function? y = -3sec(2pix)

OpenStudy (anonymous):

D:{x|x∈R} no other restrictions

OpenStudy (anonymous):

thanks man

OpenStudy (anonymous):

no problem :)

Directrix (directrix):

This function appears to be undefined at x=.25 radians and selected multiples thereof. These values, I think, should be excluded from the domain. Given that the secant function is discontinuous, I doubt the domain would be the set of Reals.

OpenStudy (anonymous):

^ oh that's true actually. i saw that as sine function.

OpenStudy (anonymous):

oh, good thing i did not submit the answer yet

OpenStudy (anonymous):

D:{x|(x≠1/4+n/2), n∈I x∈R} would be the correct answer i think. sorry for that haha.

OpenStudy (anonymous):

hmm so {x|x≠kpi/4,k is an odd integer) would be another format to say the same thing?

OpenStudy (anonymous):

saying kpi/2, where k is an integer would be a better way of saying it

OpenStudy (anonymous):

kpi/2 ?

OpenStudy (anonymous):

how does it change from kpi/4

OpenStudy (anonymous):

saying kpi/4 and saying that k is an odd integer is kinda bizzare. saying kpi/2 and saying that k is an integer would be a better way.

OpenStudy (anonymous):

just to be clear, you are sure it is kpi/4 and not k/4

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