If the relation f = { (4 , 8) , ( 7 , 5 ) , (11 , 6 ) , (12 , 5) , ( 8 , 11)} is a function, the value of f (f (f (4))) is
* is a binary operation on Q. Find which of the following binary operations is commutative.
If a and b are two elements of Z , which of the following shows an equivalence relation
The function f : R ---> R is defined by f(x) = x^2 where x is a real number. Then f is
Number of binary operations on the set { a , b } is
If f: R --> R is defined by f(x) = x^2 - 6x - 14 , then
= -----------------
If f : R --->. R is defined by
then f(2x) - f(-x) - 6x = .........................
If
then ( f o f ) (2) is equal to
Which of the following is a bijective function on the set of real numbers ?
A relation R in N is defined as x R y if x^2 - 4xy + 3 y^2 = 0 , x , y
N. Then the relation R is
If f: R-->R : f(x) = x^ 2 and g : R ---> R : g(x) = x + 5 then g o f is
The mapping f : R ---> R is defined by f(x) = 2x + 3. Then the inverse of this mapping
is equal to
The binary operation * on Q is defined as a * b = a + 12 b + ab. Then
If f = { (5,2) , ( 6 , 3) } and g = { (2 , 5) , (3 , 6) } , f o g is equal to
Let L be the set of all lines in a plane. Which of the following relations is not a transitive relation ?
Given S = { 1 , 2 , 3 } . Which of the following fuctions f : S ---> S is not invertible ?
Let * be an operation defined on the set of positive rational numbers as a * b = (ab)/2 ,
for all a , b
Which of the following will be the inverse of k , if k is a positive rational number
If f : R ----> R be given by f(x) =
, then f o f (x) is
Which of the following statements is true ?