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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

 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   












Grade:12

1 Answers

sasha sasha sasha
18 Points
13 years ago

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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