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FUNCTIONS If f(x) is a polynomial satisfying f(x).f(y) = f(x) + f(y) + f(xy) - 2, for all x,y belong to R and f(2) = 5, then show that f(x) is an even function.

Answer» FUNCTIONS If f(x) is a polynomial satisfying f(x).f(y) = f(x) + f(y) + f(xy) - 2, for all x,y belong to R and f(2) = 5, then show that f(x) is an even function.


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