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If f (x+y) =f (x) f(y) for all x,y and ...

If `f (x+y) =f (x) f(y)` for all x,y and `f (0) ne 0, and F (x) =(f(x))/(1+(f (x))^(2))` then:

A

even function

B

odd function

C

odd, if `f(x) gt 0`

D

neither even nor odd

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A
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