For which of the following functions is f(a+b) = f(a) + f(b) : Quant Question Archive [LOCKED]
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# For which of the following functions is f(a+b) = f(a) + f(b)

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For which of the following functions is f(a+b) = f(a) + f(b) [#permalink]

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06 Mar 2006, 15:32
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For which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?

f(x) = x^2

f(x) = x+1

f(x) = squareroot x

f(x) = 2/x

f(x) = -3x
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06 Mar 2006, 15:58
f(x) =-3x

Suppose a = 3 and b=2
f(5) = -15
f(3) = -9
f(2) = -6
f(5) = f(3 )+ f(2)

None of the other functions satisfies this condition.
06 Mar 2006, 15:58
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