Relations and F...

A relation R on a non-empty set A is an equivalence relation, if it is

If f (x) =√−x, then domain of fof is

In the relation R : A → B, where A = {1, 2, 3, 4, 5} and B = {u, v, x, y, z} is a function, R is given by

Let x be any real, then [x + y] = [x] + [y] holds for

If f : R is defined by f(x) = x² - 6x - 14, then f^-1(2) is equal to

Number of relation that can be defined on a set A = (a, b, c, d) is

If f : R → R is given by f(x) = x² - 3, then f ^-1 is given by

The domain of definition of the function y(x) given by the equation 2^x + 2^y = 2 is

If

then gof is equal to

The diagram given below shows that

Let f(x) =  then (fofof) (x) equals to

The number of one-to-one functions from a set containing m elements to another set containing n elements is:

The function f(x) = ^, is

If f(x) =  is defined as [0, )  [0, ), then f(x) is

If f : R ⇒ R is defined as f(x) = x² - 3x + 4 for all x ∈ R, then f^-1 (2) is equal to

The function f : R - {2} R defined by is

The function f (x) = x + cos x

Let A = {1, 2, 3}. The total no. of distinct relations which can be defined over A is

The function f (x) = x + cos x

If f : I → I be defined by f(x) = x + i, where i is a fixed integer, then f is

If f : R - {3} R - {1} is defined by f(x) = , then f is

If A = {1, 2, 3}, B = {4, 5, 6}, which of the following is a relation from A to B?

If f(x) = , then at x = 0, f has