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If f and g are monotonic, is f(g(x))?

  1. Dec 6, 2011 #1
    1. The problem statement, all variables and given/known data
    If f and g are both increasing functions, is it true that f(g(x)) is also increasing? Either prove that it is true or five an example that proves it false.


    2. Relevant equations



    3. The attempt at a solution
    I know that it is indeed also increasing, but I'm unsure how to prove it.
     
  2. jcsd
  3. Dec 6, 2011 #2

    Dick

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  4. Dec 6, 2011 #3
    Thanks for the help.
     
  5. Dec 6, 2011 #4

    Dick

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    micromass's advice is quite good. Pay attention to it.
     
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