say you have.... idk... f- (6,5), (8,3), (7,1), (14,-2) g- (4,5), (5,8), (0,9), (1,-2).
how do you determine the f of g and the g of f with these points?
how do you determine the f of g and the g of f with these points?
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you see if the other function has an abcissa for the ordinate of the first
f- (6,5), (8,3), (7,1), (14,-2) g- (4,5), (5,8), (0,9), (1,-2).
in f, 6 produces a 5 a 5 produces an 8 in g so g(f(6)) = 8
Likewise, in g, a 4 produces a 5. But 5 is not in the domain of f, so f(g(4)) = Ø
f(g(5)) = 3 f(g(0)) = Ø f(g(1)) = Ø
g(f(8)) = Ø g(f(7)) = -2 g(f(14)) = Ø
f- (6,5), (8,3), (7,1), (14,-2) g- (4,5), (5,8), (0,9), (1,-2).
in f, 6 produces a 5 a 5 produces an 8 in g so g(f(6)) = 8
Likewise, in g, a 4 produces a 5. But 5 is not in the domain of f, so f(g(4)) = Ø
f(g(5)) = 3 f(g(0)) = Ø f(g(1)) = Ø
g(f(8)) = Ø g(f(7)) = -2 g(f(14)) = Ø
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thats a hard one..