# NCERT Class 11-Math՚S: Chapter – 2 Relations and Functions Part 7 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 20**:

If then show that

(i)

(ii)

**Answer**:

Given:

To show:

Explanation: given

Now replace by , we get

Hence proved

**Question 21**:

Let and be two functions defined in the domain . Find

(i)

(ii)

(iii)

(iv)

**Answer**:

(i)

(ii)

(iii)

(iv)

**Question 22**:

Find the domain and Range of the function

**Answer**:

Domain of and Range of

**Question 23**:

If

**Answer**:

Given:

To prove:

Explanation: we have

Now we will replace with , we get

From equation (i) , we will substitute the value of in above equation, we get

Cancelling the like terms, we get

Hence proved