# NCERT Class 11-Math's: Chapter –2 Relations and Functions Part 5

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**Question 3:**

If

find

(i)

(ii)

**Answer:**

(i)

(ii)

**Question 4:**

In each of the following cases, find and .

(i)

(ii)

**Answer:**

(i)

(ii)

**Question 5:**

Given . Find the ordered pairs which satisfy the conditions given below:

(i)

(ii)

(iii)

**Answer:**

(i)

(ii)

(iii)

**Question 6:**

Given . Find the domain and Range of R.

**Answer:**

Domain of Range of

**Question 7:**

If , where is a relation. Then find the domain and Range of .

**Answer:**

Domain of and Range of

**Question 8:**

If and *y* are integers and is a relation. Then find .

**Answer:**

**Question 9:**

If is a relation. Then find domain and range of .

**Answer:**

**Question 10:**

Is the given relation a function? Give reasons for your answer.

(i)

(ii)

(iii)

(iv)

(v)

**Answer:**

(i) is not a function

(ii) is a function

(iii) is a function

(iv) is a function

(v) is a constant function

**Question 11:**

If *f* and *g* are real functions defined by and , find each of the following

(a)

(b)

(c)

(d)

(e)

**Answer:**

(a)

(b)

(c)

(d)