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let f(x) be a function with the following two properties: a.) for any two real numbers x and y, f(x+y)=x+f(y).?

let f(x) be a function with the following two properties:

a.) for any two real numbers x and y, f(x+y)=x+f(y).

b.) f(0)=2. Find f(2009)

thank you

5 Answers

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  • 1 decade ago
    Favorite Answer

    f(2009+0) = 2009 +f(0) = 2011.

    I arrived a few seconds after michy, but I agree with him.

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  • 1 decade ago

    f(x+y)=x+f(y)

    f(2009) = f(2009 + 0) = 2009 + f(0) = 2009 + 2 = 2011

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  • 1 decade ago

    Well, from what you say,

    f(2009) = f(2009 + 0) = 2009 + f(0)

    Looks like you can probably do the rest.

    =====

    P.S.: He-he, looks like these old fingers clack on the computer too slowly! Mr. Michy and Mr. Corben are both correct. One thing you might try to do is prove to yourself that this can only happen if f(x) = 2 + x.

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  • Anonymous
    1 decade ago

    x as in you don't have one, Or that it has somehow abondoned you? It's your ex penis, you don't hang out anymore but you can't seem to make those feelings go away

    Source(s): myspace.com/poopboobs
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  • 1 decade ago

    ... ... ... You must be kidding me.

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