1. Jun 8, 2008 #1

   aaa59

   

   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)?

    

   aaa59, Jun 8, 2008
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3. Jun 8, 2008 #2

   uman

   

   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.

    

   uman, Jun 8, 2008
4. Jun 9, 2008 #3

   aaa59

   

   i think i got it.
   
   so: g(1) = 2 and f(2) = 3. therefore h(1)=3. am i right?

    

   aaa59, Jun 9, 2008
5. Jun 9, 2008 #4

   uman

   

   Yes.

    

   uman, Jun 9, 2008
6. Jun 9, 2008 #5

   CompuChip

   

   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]

    

   CompuChip, Jun 9, 2008

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