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Suppose f is a continuous on R and f(x + y) = f(x) + f(y) for...

Suppose f is a continuous on R and f(x + y) = f(x) + f(y) for all X,Y E R. Prove that for some constant a ER, f(x) = ar.

Suppose f is a continuous on R and f(x + y) = f(x) + f(y) for all X,Y E R. Prove that for some constant a ER, f(x) = ar.
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Geren, foxty) = f(x) + f(y) NA let h be small variable, flatbe f(a+ feb? (102 from cil (olf +62f = (a + kof 03 (@of Nowy fromNowy fo) 20 Co. .. 6. flas= auto= an

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