Question: If f : ( (', then show that (i) f-1 f (A)] ( A, A ( (. (ii) f [ f -1(B)] ( B,

If f : ( → (', then show that
(i) f-1 f (A)] ( A, A ( (.
(ii) f [ f -1(B)] ( B, B ( ('.
(iii) By concrete examples, show that the relations in (i) and (ii) may be strict.

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i If A then f f A and f 1 f A For a concrete example take f R 0 1 where f x x 2 and let A 0 1 Then ... View full answer

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