Class 11th Maths – RD Sharma Chapter 3 : Functions Fill in the Blanks Type Questions (FBQs) Solutions

  1. 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
  2. If f(x) = x / (x − 1) = 1 / y, then f(y) = ………………….. Watch Solution
  3. If y = f(x) = (ax + b) / (cx − d), then f(y) = ………………….. Watch Solution
  4. The domain of the function f(x) = 1 / √(|x| − x) is ………………….. Watch Solution
  5. The range of the function f(x) = [x] − x is ………………….. Watch Solution
  6. The range of the function f(x) = (x + 2) / |x + 2| is ………………….. Watch Solution
  7. The range of the function f(x) = logₐx, a greater than 0 is ………………….. Watch Solution
  8. Let f and g be two functions given by f = {(2, 4), (5, 6), (8, −1), (10, −3)} and g = {(2, 5), (7, 1) (8, 4), (10, 13), (11, −5)}. Then, domain of f + g is ………………….. Watch Solution
  9. Let f and g be two real functions given by f = {(10, 1), (2, 0), (3, −4), (4, 2), (5, 1)} and g = {(1, 0), (2, 3), (3, −1), (4, 4), (5, 3)}. Then the domain fg is given by ………………….. Watch Solution
  10. The domain for which the functions f(x) = 3x² − 1 and g(x) = 3 + x are equal is ………………….. Watch Solution
  11. The domain of the function f(x) = (x² + 1) / (x² − 3x + 2) is ………………….. Watch Solution
  12. If f(x) = (x − 1)/(x + 1), then f(1/x) + f(x) is equal to ………………….. Watch Solution
  13. If f(x) = (x − 1) / (x + 1), then f(1 / x) is equal to ………………….. Watch Solution
  14. If f(x) = [x]² − 5 [x] + 6, then the set of values of x satisfying f(x) = 0 is ………………….. Watch Solution
  15. The domain of the function f(x) = √(9 − x) + 1 / √(x² − 16) is equal to ………………….. Watch Solution
  16. The domain and range of the function f(x) = (2 − x)/(x − 2) are ……………….. and ……………….. respectively. Watch Solution
  17. The domain of the function f(x) = 1 / √([x]² − 3 [x] + 2) is ………………….. Watch Solution
  18. The range of the function f(x) = |x − 4| / (x − 4) is ………………….. Watch Solution
  19. The domain of the function f(x) = x + [x] is ………………….. Watch Solution
  20. The range of the function f(x) = √(1 − x²) is ………………….. Watch Solution
  21. The domain of the function f(x) = Σ (n = 1 to 10) [1 / |2x − n|] is ………………….. Watch Solution
  22. The domain of the function f(x) = (|x| − 2)/(|x| − 3) is ………………….. Watch Solution
  23. If f(2x + 3) = 4x² + 12x + 15, then the value of f(3x + 2) is ………………….. Watch Solution
  24. The number of elements of an identity function defined on a set containing four elements is ………………… Watch Solution

Chapter 3: Functions – R. D. Sharma Class 11th Maths

  1. Functions Exercise 3.1 Video Solution

  2. Functions Exercise 3.2 Video Solution

  3. Functions Exercise 3.3 Video Solution

  4. Functions Exercise 3.4 Video Solution

  5. Functions Multiple Choice Questions (MCQs) Video Solution Video Solution

  6. Functions Fill in the Blanks (FBQs) Video Solution

  7. Functions Very Short Answer Questions (VSAQs) Video Solution Video Solution

 

 

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