Question

for f(x) = {[2,3],[4,4],[5,8]} and g(x)= {[2,4],[3,5],[4,2],[8,4]} Find F o G and G o F if they exist. Helpp meee !

Answer 1

lets do
\[f\circ g\]

Answer 2

first we do g, then we do f. g sends 2 to 4 , because you have (2,4) in g. f sends 4 to 4 because of (4,4) so
\[f\circ g(2)=f(g(4))=4\] meaning that (2,4) is on the graph of
\[f\circ g\]

Answer 3

now more quickly g sends 3 to 5 and f sends 5 to 8 so on we have (3,8)

Answer 4

g sends 4 to 2
f sends 2 to 3, so we get
(4,3)

Answer 5

and finally g sends 8 to 4
f sends 4 to 4, so we get
(8,4)

Answer 6

and so
\[f\circ g =\{(2,4) ,(3,8), (4,3),(8,4)\}\]

Answer 7

and thats all ?