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A function `f (x)` is defined for all `x in R` and satisfies, `f(x + y) = f (x) + 2y^2 + kxy AA x, y in R`, where `k` is a given constant. If `f(1) = 2 and f(2) = 8`, find `f(x)` and show that `f (x+y).f(1/(x+y))=k,x+y != 0`.

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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