# NCERT Class 11-Math's: Chapter –2 Relations and Functions Part 4

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Question 10:

Find the domain of the function given by

Given that is defined

Or

Or

Or

Hence Domain

## Objective Type Questions

Choose the correct answer out of the four given possible answers (M.C.Q.)

Question 11:

The domain of the function defined by is

(A)

(B)

(C)

(D) None of these

The correct answer is (D). Given that

Where

Thus is not defined for any .

Hence f is not defined for any , i.e. Domain of is none of the given options.

Question 12:

If is equal to

(A)

(B)

(C)

(D)

The correct choice is C.

Since

Hence,

Question 13:

Let A and B be any two sets such that then the total number of functions is equal to __________.

Any element of set A, say can be connected with the element of set B in p ways. Hence, there are exactly functions.

Question 14:

Let f and g be two functions given by

then. Domain of is __________

Since Domain of and Domain of , therefore the domain of

## Short Answer Type

Question 1:

Let and . Determine

(i)

(ii)

(iii)

(iv)

(i)

(ii)

(iii)

(iv)

Question 2:

If , where

W is the set of whole numbers.