Saturday, 9 May 2015

calculus - Let $f(x + y) = f(x) + f(y) - 2f(xy)$. What is $f(x)$?

Let $f$ is a function and not constant.Suppose $x,y\in \mathbb{R}$ and
$$f(x + y) = f(x) + f(y) - 2f(xy)$$



What is $f(x)$?

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