SOLUTION: 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)}
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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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