Let A = {1, 2, 3, 4} and B = {a, b, c, d} . The function f and g are given by

f = {(1, a), (2, a), (3, c), (4, d)}

g = {(1, a), (2, c), (3, b), (4, d)}

Which of the following is true?

1
 f-1 exists but g-1 does not exist
2
 f-1 does not exist but g-1 exist
3
 both f-1 and g-1 exist
4
neither f-1 nor g-1 exist

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