What is the domain of this function?
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What is the domain of this function?

[From: ] [author: ] [Date: 14-05-07] [Hit: ]
...Thanks for any help, 10 points to best!!......
What is the domain of this function: f(x) = (x/3)^2 .e^((-x^2)/3) I think is is x=1,2,3.... Thanks for any help, 10 points to best!! :)

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I think you mean (x/3)^2*e^((-x^2/3))
OK

(x/3)^2*e^((-x^2/3)) is the same as (x/3)^2/e^((x^2/3)) let e^((x^2/3)) be equal to zero, why because the denominator will be zero which will make the function undefined.

e^((x^2/3)=0
ln(e^((x^2/3))=ln(0)
(x^2/3)=undefined

It does not have discontinuities.

So the domain will be all real numbers. "R"

God bless you
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