Question

Let S = {a, b, c} and T = {1, 2, 3}. Find F⁻¹ of the following functions F from S to T, if it exists.

(i) F = {(a, 3), (b, 2), (c, 1)}         (ii) F = {(a, 2), (b, 1), (c, 1)}

Answer 1

Since F (b) = F (C) = 1, F is not one – one.
Hence, F is not invertible i.e., F⁻¹ does not exist.