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If F= {(1,5), (4, 1), (2, 7)}and g= {(3, 1), (5 4) (-6,2)} represent fog in mapping of agram and to find fog in ordered pair form​

User Ctusch
by
6.6k points

1 Answer

10 votes

From the given mappings, we have


f(1) = 5, f(4) = 1, f(2) = 7

and


g(3) = 1, g(5) = 4, g(-6) = 2

Then the composition of
f with
g, or
f\circ g, is


\boxed{f\circ g = \{(3,5), (5,1), (-6, 7)\}}

since


g(3) = 1 \implies (f\circ g)(3) = f(g(3)) = f(1) = 5


g(5) = 4 \implies (f\circ g)(5) = f(4) = 1


g(-6) = 2 \implies (f\circ g)(-6) = f(2) = 7

User Brg
by
6.3k points
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