f(x)=cos(logx), then...

`f(x)=cos(logx)`, then

A

`f(x)` is defined in `x in (0,e]`

B

`f(x)` is defined in `x in ((1)/(e ),e]`

C

`f(x)f(y)-(1)/(2)(f((x)/(y))+f(xy))=0`

D

`f(x)f(y)+(1)/(2)[f((x)/(y))+f(xy)]=1`

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The correct Answer is:

A, B, C

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