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X and Y are two sets and f:X→ Y .If f(c)={y; c is subset ofX , y is subset of Y} and f-1(d) = {x;d is subset of Y,x is subset of X}, then the true statement is
A) f(f-1(b)) = b
B) f(f-1(b)) = b,b is subset of Y
C) f-1(f(a)) = a
D) f-1(f(a)) = a,a is subset of X
AS f(x)=y ,x and y are subsets of X and Y .............1
also f¯1(y)=x ,x and y are subsets of X and Y ........2
put 1 in 2
f(f-1(x))=x , x is subset of X
D
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