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Confused about composite functions

  1. Feb 8, 2015 #1
    1. The problem statement, all variables and given/known data
    1. Find a formula for
    (f composite.gif g)(x) = ?

    2. Find a formula for
    (f composite.gif f )(x) = ?

    3. Find a formula for the composition below.
    g(h(x)) =


    4. Find a formula for the composition below.
    (h composite.gif g)(x) =


    3. The attempt at a solution
    1. f(g(x))
    2. f(f(x))
    3. (g º h)(x)
    4. h(g(x))

    Why are these incorrect?
     
  2. jcsd
  3. Feb 9, 2015 #2

    Mark44

    Staff: Mentor

    All you have done is to rewrite each composition in a different form. I suspect that there are formulas for f, g, and h that you have overlooked.
     
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