Question 1138851: For each pair of functions, find fog and gof, if they exist
f={(-1,2),(5,6)(0,9)}
g={(6,0),(2,-1),(9,5)}
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! solve a system of three equations derived from the original three coordinate pairs
f={(-1,2),(5,6)(0,9)}
( , )
 ..........eq.1
( , )
 ..........eq.2
( , )
go to ..........eq.1, substitute 
 ..........solve for 
 ..........eq.2 , substitute and
 .......solve for 
go to  ......eq.1a, substitute
=>
g={(6,0),(2,-1),(9,5)}
(,)
 ..........eq.1
(,)
 ..........eq.2
(,)
 ..........eq.3
go to
..........eq.1
..........eq.2
------------------------------------------subtract
 .........solve for
 ............eq.1a
go to
..........eq.3
..........eq.1
------------------------------------------subtract
 .......solve for
 ..............eq.2a
from eq.1a and eq.2awe have
 ........solve for
go to  ............eq.1a, substitute
go to ..........eq.2, substitute and
so, your functions are:
find  o =
and o=
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