Question

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​

Answer 1

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`