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FUNCTION question

  1. Aug 10, 2007 #1
    1. The problem statement, all variables and given/known data
    Find two functions f and g such that (f+g)(x) =5 and the domain of f+g is [0,inf)

    2. Relevant equations

    3. The attempt at a solution
    I am wondering if (f+g)(x) means f(x)+g(x)

    If so then can i just say that f(x)=4 and g(x)=1 or f(x)=3 and g(x)=2?
  2. jcsd
  3. Aug 10, 2007 #2


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    Homework Helper

    Yes, looks right to me.
  4. Aug 11, 2007 #3
    Thank You :!!)
  5. Aug 11, 2007 #4


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    Science Advisor
    Homework Helper

    Or you could do something exciting like
    [tex]f(x) = \sqrt{x}, g(x) = 5 - \sqrt{x}[/tex]
    [tex]f(x) = \sqrt{x} + x^2 - \frac{3 x^{12}}{1 + x}, g(x) = 5 - \sqrt{x} + x^2 - \frac{3 x^{12}}{1 + x}[/tex]
    or any other function f(x) with domain [itex][0, \infty[[/itex] and define [itex]g(x) = 5 - f(x)[/itex].
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