Question 1099428: Find f∘g if f = {(1,2), (3,4), (5,4)} and g = {(2,5), (4,3)}.
f∘g = {(2, 4), (3, 4)}
f∘g = {(2, 5), (4, 3)}
f∘g = {(2, 5), (4, 3), (5, 2)}
f∘g = {(2, 4), (4, 4)}
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website! Find f∘g if f = {(1,2), (3,4), (5,4)} and g = {(2,5), (4,3)}.
f∘g(x) = f(g(x)), so the domain of f∘g can only contain
elements which are elements of the domain of g, which is
{ 2,4 }.
g(2) = 5, so f∘g(2) = f(g(2)) = f(5) = 4, so (2,4) ∈ f∘g
g(4) = 3, so f∘g(4) = f(g(4)) = f(3) = 4, so (4,4) ∈ f∘g
Therefore f∘g = { (2,4), (4,4) }
Edwin
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