CBSE  /  Class 11  /  Maths  /  Relations and Functions

  • 1. 
    If f(x) = (a – x)1/n, a > 0 and n ∈ N, then the value of f(f(x)) is

  • 1/x
  • x
  • x²
  • x1/2

  • 2. 
    The domain of the definition of the real function f(x) = √(log12 x² ) of the real variable x is

  • x > 0
  • |x| ≥ 1
  • |x| > 4
  • x ≥ 4

  • 3. 
    If f(x) = ex and g(x) = loge x then the value of fog(1) is

  • 0
  • 1
  • -1
  • None of these

  • 4. 
    Two functions f and g are said to be equal if f

  • the domain of f = the domain of g
  • the co-domain of f = the co-domain of g
  • f(x) = g(x) for all x
  • all of above

  • 5. 
    A function f(x) is said to be an odd function if

  • f(-x) = f(x)
  • f(-x) = -f(x)
  • f(-x) = k * f(x) where k is a constant
  • None of these

  • 6. 
    If f(x) is an odd differentiable function on R, then df(x)/dx is a/an

  • Even function
  • Odd function
  • Either even or odd function
  • Neither even nor odd function

  • 7. 
    The function f(x) = sin (‎πx/2) + cos (πx/2) is periodic with period

  • 4
  • 6
  • 12
  • 24

  • 8. 
    If f(x) = log3 x and A = (3, 27) then f(A) =

  • (1, 1)
  • (3, 3)
  • (1, 3)
  • (2, 3)

  • 9. 
    The domain of tan-1 (2x + 1) is

  • R
  • R -{1/2}
  • R -{-1/2}
  • None of these

  • 10. 
    the function f(x) = x – [x] has period of

  • 0
  • 1
  • 2
  • 3
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