Question

The domain of the function

                   

Solution

Correct option is

[2, 3]

By definition of sin-1 x

                                          …(1)

Also        

or                                   …(2)

By (1) and (2),

                

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

If the function 

Q8

The domain of definition of

                            

Q9

The natural domain of 

Q10

Then its domain is given by