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Grade 12Algebra

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






Profile image of raman malik
16 Years agoGrade 12
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1 Answer

Profile image of sasha sasha sasha
16 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