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Let f (x) be a real vaued continuous fun...

Let `f (x)` be a real vaued continuous function such that
`f (0) =1/2 and f(x+y) = f(x) f (4-y) + f(y) f (4-x ) AA x, y in R,` then for some real a:

A

f (x) is perodic function

B

f (x) is a constant function

C

`f (x)= 1/2`

D

` f(x) =(cos x)/(2)`

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The correct Answer is:
A, B, C
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