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Prove (f+g)(x) = f(x) + g(x)

  1. Feb 27, 2008 #1
    where f and g are finctions of x

    please thanks
     
  2. jcsd
  3. Feb 27, 2008 #2
    you mean "functions"...
     
  4. Feb 27, 2008 #3
    that's a definition as far as I am concerned. How are you defining (f+g)(x)?
     
  5. Feb 27, 2008 #4
    This appears to be the definition of the sum of two functions. It is valid as long as f and g have the same domains and ranges.
     
  6. Feb 28, 2008 #5

    JasonRox

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    Homework Helper
    Gold Member

    They don't need the same range.

    Try sin(x) + x.
     
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