Solving The Functional Equation f(x-y) = f(x) - f(y)

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Solving The Functional Equation f(x-y) = f(x) - f(y)

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f(16-8) = f(16) - f(8)
f(8-4) = f(8) - f(4)
f(4-2) = f(4) - f(2)

f(2) = 5
==>
5 = f(4) - 5 ==> f(4) = 10
10 = f(8) - 10 ==> f(8) = 20
20 = f(16) - 20 ==> f(16) = 40

yurenchu

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