Question

The domain of definition of

                            

Solution

Correct option is

             

Also 

i.e.             

SIMILAR QUESTIONS

Q1

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from to is

Q2

The number of surjections from A = {1, 2,...n},onto = {a, b} is

Q3

Let E = {1, 2, 3, 4} and F {1, 2}. Then the number of onto function fromE to F is

Q4

Let and be two finite sets having m and n elements respectively. Then the total number of mappings from A and B is

Q5

The total number of injective mappings from a set with m elements of distinct functions from A to A is

Q6

Let A be a set containing 10 distinct elements, then the total number of distinct functions from A to A is

Q7

If (x) = sin x = +cos x, g (x) = x– 1, then g ((x)) is invertible in domain

Q8

If the function 

Q10

The natural domain of