The relation ≥ on the set R of all real numbers is

Let x be any  non empty set containing n elements. Then what is the number of relations on x?

Let  Q be the set of all rational numbers, find  f^-1 if f: Q→Q ; f(x)= (3x+5)  for all xQ.

Let A= {1,2,3} and R= {(1,2), (2,2), (3,1), (3,2)}.  Then the domain of  R^-1 is

Which one of hte following  is correct?

The relation R= {(1,1), (2,2),(3,3)} on a set  A= {1,2,3}  is

If R is a relation from  {11,12,13} to { 8,10,12}  and is defined by  y= x-3, then find the value of R^-1.

In a Euclidean plane, which one of the following is not an  equivalence relation?

Let R be a  set of real numbers and let S be a relaion  defined  on R as follows. xSy, iff x²+y²=1.

Which one of the following  statements is correct?

N is the set of natural  numbers.  The relations R is defined on NxN  as follows.

(a,b) R (c,d) a+d= b+c is

Let f: R→R;  f(x) = (x²-3x+2).  Then  f(f(y))=