If fx - y - fxy - x- y- R then prove that f is a constant function-

Let x be any real and y = 0 .Then f(x+0) = f(x #215;0) ⇒ f( x ) = f( 0 ) ∀ x ∈ R Hence the function is a constant function as it is the p ...

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Constant Function

If fx + y =...

Question

If $f (x + y) = f (x y) \forall x, y ϵ R$ then prove that $f$ is a constant function.

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