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(x)=max{f(x),g(x)} continuous functions

  1. Apr 4, 2005 #1
    lo,
    I've got a quick q about the equation in the title, I've been asked to show/prove by analysis, that if f and g are continuous functions then M(x) is also continuous, it seems pretty intuitive but i just don't know how they want us to prove it, any help would be gr8
     
  2. jcsd
  3. Apr 4, 2005 #2
    Use the fact that max{a, b} = (a + b + |a - b|)/2.
     
  4. Apr 4, 2005 #3
    how can i use this fact?
     
  5. Apr 4, 2005 #4
    It transforms the problem of showing that max{f(x), g(x)} is continuous into showing that (f(x) + g(x) + |f(x) - g(x)|)/2 is continuous.
     
  6. Apr 4, 2005 #5
    thx, think i get it now
     
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