How would we calculate (f O g)?

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  • #1
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Main Question or Discussion Point

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)?
 

Answers and Replies

  • #2
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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.
 
  • #3
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i think i got it.

so: g(1) = 2 and f(2) = 3. therefore h(1)=3. am i right?
 
  • #4
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Yes.
 
  • #5
CompuChip
Science Advisor
Homework Helper
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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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