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

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Joined: 05 Jul 2006
Posts: 199
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for which of the following functions is f(a+b) = f(a) +f(b) [#permalink]  30 Aug 2006, 10:33
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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)= sqrt. of x
f(x)= 2/x
f(x)=-3x
CEO
Joined: 20 Nov 2005
Posts: 2923
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 13

Kudos [?]: 75 [0], given: 0

Re: PS-Function GMATPrep [#permalink]  30 Aug 2006, 10:47
lan583 wrote:
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)= sqrt. of x
f(x)= 2/x
f(x)=-3x

Straight E.

1. (a+b)^2 a^2+b^2
2. a+b+1 (a+1) + (b+1)
3. √(a+b) √a + √b
4. 2/(a+b) 2/a + 2/b
5. -3(a+b) = -3a + (-3b)
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Re: PS-Function GMATPrep   [#permalink] 30 Aug 2006, 10:47
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