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How would we calculate (f O g)?

  1. Jun 8, 2008 #1
    if A={1,2,3}

    f:A-> A = {(1,2),(2,3),(3,1)}
    g:A->A = {(1,2),(2,1),(3,3)}

    how would we calculate (f O g)?
     
  2. jcsd
  3. Jun 8, 2008 #2
    say h = f o g. To find h(x), simply plug x into g, and then plug the result into f.

    For example, g(2) = 1 and f(1) = 2. So h(2) = 2. Hope this helps.
     
  4. Jun 9, 2008 #3
    i think i got it.

    so: g(1) = 2 and f(2) = 3. therefore h(1)=3. am i right?
     
  5. Jun 9, 2008 #4
    Yes.
     
  6. Jun 9, 2008 #5

    CompuChip

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    Science Advisor
    Homework Helper

    At this stage, you can just consider
    [tex]h = f \circ g[/tex]
    as just "shorthand" for the function defined by
    [tex]h(x) = f(g(x))[/tex]
     
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