Q61 of 70 Page 11

State True or False for the statements

Every function is invertible.

False

A function is invertible if and only if it is one-one and onto. Hence, only bijective functions are invertible.


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58

State True or False for the statements

The relation R on the set A = {1, 2, 3} defined as R = {{1, 1), (1, 2), (2, 1), (3, 3)}is reflexive, symmetric and transitive.

 59

State True or False for the statements

The composition of functions is commutative.

 60

State True or False for the statements

The composition of functions is associative.

 62

State True or False for the statements

A binary operation on a set has always the identity element.