Question

Let X and Y be two non empty sets.f : X −→ Y be a function. Suppose A ⊆ X, B ⊆ Y .

Consider the following statements.

(i) f(A) is a collection of images of each element of A.

(ii) f(B) is a collection of all pre-images of each element of B.

(iii) f(A) = {f(x) | x ∈ A}.

(iv) f(B) = {x ∈ X | f(x) ∈ B}.
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Answer 1

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