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

 

 

 

 

 

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