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Function composition

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  1. In mathematics, a composite function represents the application of one function to the results of another

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  2. For instance, the functions f: X → Y and g: Y → Z can be composed by first applying f to an argument x and then applying g to the result

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  3. Thus one obtains a function g o f: X → Z defined by (g o f)(x) = g(f(x)) for all x in X. The notation g o f is read as "g circle f", or "g composed with f", "g following f", or just "g of f"

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  4. The composition of functions is always associative

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  5. That is, if f, g, and h are three functions with suitably chosen domains and codomains, then f o (g o h) = (f o g) o h

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
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