NCERT Class 11-Math՚s: Chapter – 2 Relations and Functions Part 6 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 12:

Let f and g be real functions defined by and .

(a) For what real numbers ?

(b) For what real numbers ?

Answer:

(a)

(b)

Question 13:

If f and g are two real valued functions defined as , then find.

(i)

(ii)

(iii)

(iv)

Answer:

(i)

(ii)

(iii)

(iv)

Question 14:

Express the following functions as set of ordered pairs and determine their range.

Answer:

(i)

Question 15:

Find the values of x for which the functions

are equal

Answer:

Long Answer Type

Question 16:

Is a function? Justify. If this is described by the relation, , then what values should be assigned to and ?

Answer:

Yes,

Question 17:

Find the domain of each of the following functions given by

(i)

(ii)

(iii)

(iv)

(v)

Answer:

(i)

(ii)

(iii)

(iv)

(v)

Question 18:

Find the range of the following functions given by

(i)

(ii)

(iii)

(iv)

(Hint:

Answer:

(i)

(ii)

(iii)

(iv)

Question 19:

Redefine the function

Answer: