Let A = {1,2,3}, B = {4,5,6}, C = {7,8,9,10} define the functions f :A-> C and g : B -> C by

f(1) =7,
f(2) = 9,
f(3) = 7,
g(4) = 10, g(5) = 7,g(6)=9

Does there exist a function h: A -› B such that (g o h) = f?

Does there exist a fupction k : B -> A such that (f o k) = g?
Justify your answers.

Question

05-12-2022
Mathematics

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Let A = {1,2,3}, B = {4,5,6}, C = {7,8,9,10} define the functions f :A-> C and g : B -> C by

f(1) =7,
f(2) = 9,
f(3) = 7,
g(4) = 10, g(5) = 7,g(6)=9

Does there exist a function h: A -› B such that (g o h) = f?

Does there exist a fupction k : B -> A such that (f o k) = g?
Justify your answers.

Sagot :

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