Which function has an inverse that is also a function? a.{ (-1, - 2), (0, 4), (1, 3), (5, 14), (7, 4) } b.{ (-1, 2), (0, 4), (1, 5), (5, 4), (7, 2) } c.{ (-1, 3), (0, 4), (1, 14), (5, 6), (7, 2) } d.{ (-1, 4), (0, 4), (1, 2), (5, 3), (7, 1) }

Question

Elsie Hood

Mathematics

18 September, 11:29

Which function has an inverse that is also a function? a.{ (-1, - 2), (0, 4), (1, 3), (5, 14), (7, 4) } b.{ (-1, 2), (0, 4), (1, 5), (5, 4), (7, 2) } c.{ (-1, 3), (0, 4), (1, 14), (5, 6), (7, 2) } d.{ (-1, 4), (0, 4), (1, 2), (5, 3), (7, 1) }

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Bronson Glenn · Answer 1

Inverse of the function A is not a function because we will have pairs: (4, 0) and (4, 7). Also for the function B : (4, 0) and (4, 5). And for D : (4, - 1), (4, 0). We must have 1 value of x for 1 value of y. So an inverse that is also a function is just C.

Answer: C) { ( - 1, 3), (0, 4), (1, 14), (5, 6), (7, 2) }