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If f (x+ y ) = f (x) . F(y) for all r...

If `f (x+ y ) = f (x) . F(y) ` for all real x,y and f(0 ) `ne 0 ` then the funtions `g (x) = ( f(x) )/( 1+ { f(x) }^(2)) ` is

A

even function

B

odd function

C

odd if `f(x) gt 0`

D

neither even nor odd

Text Solution

Verified by Experts

The correct Answer is:
A
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