Q3 Explain why the following functions f : X-> Y do not have inverses :

1. X = R - {0}, Y= R and f(x) = 1/x for all x∈X.
2. X = {-1, 0, 1, 2}, Y = {2, 3} and f (x) = 2 for x = -1, 0, 1 and f (2) = 3
3. X = R=Y and f(x) = x² + 1 for all x∈R

Solution

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