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

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Manager
Joined: 30 Jul 2007
Posts: 130
For which of the following functions is f(a+b) = f(a) + f(b) [#permalink]

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23 Aug 2008, 17:36
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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?

A) f(x) = x^2
B) f(x) = x + 1
C) f(x) = sqrt x
D) f(x) = 2/x
E) f(x) = -3x
Manager
Joined: 15 Jul 2008
Posts: 205

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23 Aug 2008, 17:51
1
KUDOS
sarzan 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.

Sustitute a+b for x in each and compare with f(a) + f(b)

eg. A. f(a+b) = (a+b)^2 is not equal to f(a) + f(b) = a^2 + b^2
Re: PS - functions   [#permalink] 23 Aug 2008, 17:51
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