If the function FX defined on R satisfies f (x + y) = f (x) + F (y) + 2XY [XY belongs to R] f (1) = 2, then f (- 2) =? Please be more detailed! 20 points will be sent! If it's OK, points will be added! The earlier you answer, the more points will be added. Thank you

Let x = - 2 y = 1 f (- 2 + 1) = f (- 2) + F (1) - 4 so f (- 1) = f (- 2) - 2 let x = - 1 y = 1 f (- 1 + 1) = f (- 1) + f (1) - 2 so f (0) = f (- 1) let x = 0 y = 1 f (0 + 1) = f (0) + F (1) so f (0) = 0 in conclusion, f (- 2) = f (- 1) + 2 = f (0) + 2 = 2

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