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If f(x)=cos loge^x then f(x)*f(y)-1/2[f(...

If `f(x)=cos log_e^x` then `f(x)*f(y)-1/2[f(xy)+f(x/y)]=`

A

0

B

`1/2f(x)f(y)`

C

f(x+y)

D

none of these.

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