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

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Manager
Joined: 13 Apr 2006
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For which of the following functions is f(a+b) = f(a) + f(b) [#permalink]

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11 Jun 2006, 17:06
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

For which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?

a. f(x) = x^2
b. f(x) = x + 1
c. f(x) = sqrt x
d. f(x) = 2/x
e. f(x) = -3x

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Joined: 05 Apr 2006
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11 Jun 2006, 17:23
kuristar wrote:
For which of the following functions is f(a+b) = f(a) + f(b) for all positive numbers a and b?

a. f(x) = x^2
b. f(x) = x + 1
c. f(x) = sqrt x
d. f(x) = 2/x
e. f(x) = -3x

e .

f (a+b) = -3(a+b) = -3a -3b = f(a) + f(b)
Re: Function   [#permalink] 11 Jun 2006, 17:23
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