Class 11th Maths – RD Sharma Chapter 3 : Functions Exercise 3.3 Solutions

1. Find the domain of the following real valued function of real variable : f(x) = 1/x Watch Solution
2. Find the domain of the following real valued function of real variable : f(x) = 1/(x – 7) Watch Solution
3. Find the domain of the following real valued function of real variable : f(x) = (3x-2)/(x+1) Watch Solution
4. Find the domain of the following real valued function of real variable : f(x) = (2x + 1)/(x^2 – 9) Watch Solution
5. Find the domain of the following real valued function of real variable : f(x) = (x^2+2x+1)/(x^2-8x+12) Watch Solution
6. Find the domain of the following real valued function of real variable : f(x) = √(x – 2) Watch Solution
7. Find the domain of the following real valued function of real variable : f(x) = 1/√(x^2-1) Watch Solution
8. Find the domain of the following real valued function of real variable : f(x) =√(9 – x^2) Watch Solution
9. Find the domain of the following real valued function of real variable : f(x) = √{(x-2)/(3-x)} Watch Solution
10. Find the domain and range of the following real valued function : f(x) = (ax + b)/(bx – a) Watch Solution
11. Find the domain and range of the following real valued function : f(x) = (ax – b)/(cx – d) Watch Solution
12. Find the domain and range of the following real valued function : f(x) = √(x – 1) Watch Solution
13. Find the domain and range of the following real valued function : f(x) = √(x – 3) Watch Solution
14. Find the domain and range of the following real valued function : f(x) = (x – 2)/(2 – x) Watch Solution
15. Find the domain and range of the following real valued function : f(x) = |x – 1| Watch Solution
16. Find the domain and range of the following real valued function : f(x) = – |x| Watch Solution
17. Find the domain and range of the following real valued function : f(x) = 1/√(16 – x^2) Watch Solution
18. Find the domain and range of the following real valued function : f(x) = √(x^2 – 16) Watch Solution
19. let a and b be any two sets such that n (A) = p and n (B) = q, then the total number of functions from a to b is equal to Watch Solution