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Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([...

Let `f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R ,` where { } and [ ] denote the fractional and integral part functions, respectively. Also, `h(x)=log(f(x))+log(g(x))`. Then for real `x , h(x)` is

A

an odd function

B

an even function

C

neither odd nor even function

D

both odd as well as even function

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The correct Answer is:
A
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