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
      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
