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If x and y are two non exptys sets where...

If x and y are two non exptys sets where `f:X rarr Y` is function defined such that `f(C )={f(x):x in C }` and f (d)=(x:f(x) in D}` for D supe Y` for any `A supe X` and B supeY` then

A

`f(f^(-1)(B))`=B only if B =f(x)

B

`f(f^(-1)(B))`=B only if B `subset f(X)`

C

`f(f^(-1))(B))`= only if `B subseteq f(x)`

D

`f(f^(-1)(B))` never equals B

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The correct Answer is:
B
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