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Problem of the Day #409: Sohail’s Function May 1, 2012

Posted by Saketh in : potd , trackback

Sohail is tinkering around with a function $f$. Suddenly, he realizes that his function satisfies the equation $f(x+y) + f(xy) = f(x)f(y) + 1$ for all pairs of integer values $x$ and $y$. Find all possible values of $f(2012)$.

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