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

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

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

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