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by Rahul@gurome » Mon Aug 16, 2010 4:24 am
RickH wrote:Please help me with the following problem:

For which of the following functions F(a+b) = f(a) + f(b)?
Answer: F(x) = -3x????

Thanks
You have probably forgotten to give the options. Can you please check and post the question with options?
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by RickH » Mon Aug 16, 2010 4:52 am
No, I posted the correct answer right under it. "F(x) = -3x"
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by Rahul@gurome » Mon Aug 16, 2010 5:07 am
RickH wrote:No, I posted the correct answer right under it. "F(x) = -3x"
Right you posted the correct answer but according to me there should be some other options in the question.

f(a) = -3a
f(b) = -3b
f(a + b) = -3(a + b) = -3a - 3b
f(a) + f(b) = -3a - 3b
So, definitely f(a + b) = f(a) + f(b) holds true for f(x) = -3x

Does that answer your query?
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