Let g be a function from X to Y and let f be a function from Y to Z. For each statement, if the statement is true, prove it: otherwise, give a counter example.
If f ◦ g is onto, then f is onto.
If f is a function from X to Y and A ⊆ X and B ⊆ Y, we define
We call f-1(B) the inverse image of B under f.
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