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If `X and Y` are two non-empty sets where `f: X->Y`,is function is defined such that `f(c) = {f (x): x in C}` for `C sube X and f^-1 (D) = {x: f(x) in D}` for `D sube Y`,for any `A sube Y and B sube Y`, then

A

`f(f^(-1)B))=B`

B

`f(f^(-1)(B))subB`

C

`f^(-1)(f(A))=A`

D

`f^(-1)(f(A))subA`

Text Solution

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The correct Answer is:
B
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