Exercise 16.

Let \(f:X \to Y\) be some function. Suppose \(3 \in Y\text{.}\) What can you say about \(f\inv(3)\) if you know,

  1. \(f\) is injective? Explain.

  2. \(f\) is surjective? Explain.

  3. \(f\) is bijective? Explain.

Solution.
in-context