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