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Function: can anyone help with this question

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Function: can anyone help with this question [#permalink]

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New post 01 Jan 2010, 07:31
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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) = x^1/2
d) f(x) = 2/x
e) f(x) = -3x
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Re: can anyone help with this question [#permalink]

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New post 01 Jan 2010, 08:50
Expert's post
hi..
there is a property of multiplication called associative or commutative....
5a+5b=5(a+b)..... this is the form we require.....
means if u multiply with a constant the eq would be ok.. it will not be true for any other form -,+,/ etc
in choices only e follows it -3x.. E is the ans
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: can anyone help with this question [#permalink]

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New post 01 Jan 2010, 17:07
OA is E....

Always multiplication is distributed!!!

Therefore -3(a+b) = -3a + (-3b)

Cheers!
JT
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Re: can anyone help with this question   [#permalink] 01 Jan 2010, 17:07
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