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Question

The natural domain of 

Solution

Correct option is

We must have

                                               …(1)

We know that                                  …(2)

or      

or      

Testing

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

If the function 

Q9

The domain of definition of

                            

Q10

The domain of the function