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# I am having trouble understanding the concept here. Can

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Manager
Joined: 23 Jun 2008
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I am having trouble understanding the concept here. Can [#permalink]  23 Jul 2008, 16:23

For which of the following functions 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) = x^.5
d) f(x) = 2/x
e) f(x) = -3x

OA is e.
Senior Manager
Joined: 23 May 2006
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Re: GMAT Prep: Functions [#permalink]  23 Jul 2008, 16:55
2
KUDOS
For which of the following functions f(a+b)=f(a)+f(b) for all positive numbers a and b?

a) f(x) = x^2; (a+b)^2 = a^2 + b^2 NO
b) f(x) = x +1; (a+b+1) = a+1 + b+1 NO
c) f(x) = x^.5; sq. rt (a+b) = sq.rt a + sq. rt b NO
d) f(x) = 2/x 2/(a+b) = 2/a + 2/b NO
e) f(x) = -3x -3(a+b) = -3a -3b Yes
Manager
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Re: GMAT Prep: Functions [#permalink]  23 Jul 2008, 19:40
Fantabulous Mr. Agarwal!
Re: GMAT Prep: Functions   [#permalink] 23 Jul 2008, 19:40
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