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What condition must be exist for this statement about real analysis to be true? Or is it always true? please prove it.

$\max(f(x), g(x)) = \frac{f(x)+g(x)+|f(x)-g(x)|}{2}$

Hints is okay for this problem, because i have no idea how to start this proof.

please prove your answer since i am not in college.

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I know you get this a lot, but: What have you tried so far? – Brett Frankel Apr 29 '12 at 1:17
@BrettFrankel - Temperory cannot even start. – Victor Apr 29 '12 at 1:21
up vote 4 down vote accepted
  1. Try proving this more general statement : $$ \max(a,b) = \frac{a+b + |a-b|}2 $$ by treating separately the cases $a > b$ and $a \le b$.

  2. Deduce your question from 1.

Hope that helps,

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