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F to the G

  1. Oct 3, 2009 #1
    Can anyone please help me with this.

    Is (fg)(x) the same as (f(g(x))?
     
  2. jcsd
  3. Oct 3, 2009 #2

    jgens

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    Gold Member

    No, the first is the product of f and g while the second is the composition of f and g.
     
  4. Oct 4, 2009 #3

    LCKurtz

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    Gold Member

    The notation that is frequently used for h which is the composition of f and g is:

    [tex]h = f\circ g[/tex]
     
  5. Oct 5, 2009 #4

    Mark44

    Staff: Mentor

    Furthermore, the title of this thread indicates some misunderstanding, and has nothing to do with function products and pertains to function composition only when f is some kind of exponential function.

    "f to the g" would be written as follows:
    [tex]f^{g(x)}[/tex]
     
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