# 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

**Answer:**

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

**Answer:**

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)

**Answer:**

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 __________.

**Answer:**

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 __________

**Answer:**

Since Domain of and Domain of , therefore the domain of

## EXERCISE

## Short Answer Type

**Question 1:**

Let and . Determine

(i)

(ii)

(iii)

(iv)

**Answer:**

(i)

(ii)

(iii)

(iv)

**Question 2:**

If , where

W is the set of whole numbers.

**Answer:**