



 
Nazrul, Let me solve this problem:
The key here is that x and y are in B and x is the square of y. Go through the elements of B, square each and see if the result is in B.
Since (2)^{2} = 4, (4,2) is in S. Thus S = {(4,2), (0,0)}. The domain of a relation is the set of all first coordinates and hence the domain of S is {4, 0}. The range of a relation is all the second coordinates and hence the range of S is {2, 0}. To construct the inverse of S replace each element (x,y) in S by (y,x). Thus the inverse of S is {(2,4), (0,0)}. Penny  


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