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Functional equation problem ( edited )

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  1. Oct 8, 2014 #1
    Let f : R -> R be a continuous function such that,
    f(x) - 2f(x/2) + f(x/4) = x^2
    then,
    . f(3) = ?

    Answer to be calculated in terms of f(0).

    I am puzzled on how to approach such problems. Some insight would be greatly appreciated.
     
  2. jcsd
  3. Oct 8, 2014 #2

    Mark44

    Staff: Mentor

    Please start another new thread, showing what you have tried and using the homework template.
     
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