Q1.

Find the domain and range of f(x) = log(logx).

  • Domain : [1, infinity),    Range : R

  • Domain : [1, infinity),    Range : not define

  • Domain : [2, 7),    Range : R

  • Domain : (1, infinity),    Range : R

Solution:

Domain : [1, infinity),    Range : R

Q2.

Find the range of  f(x) = log \({\sqrt{x^2 +4x + 5} \ }\)

  • Range : [1, 6)

  • Range : [0, infinity)

  • Range : [1, infinity)

  • Range : [1, 5)

Solution:

Range : [0, infinity)

Q3.

Find the domain of the function f defined by f(x) = \( \sqrt{4 - x} + {1 \over \sqrt{x^2 - 1}}\) . 

  • \((- \infty, -1) \bigcup(1, 4)\)

  • \((4, 2) \bigcup (-\infty, 4)\)

     

  • \( (-\infty, -3) \bigcup (2, 5)\)

  • None of these

Solution:

NA

Q4.

Find the domain of the function f(x) = \( {1 \over log(1 - x)} + \sqrt{x + 3}\)

  • (0, -2) \(\bigcup\) (3, 1)

  •  (-3, -2) \(\bigcup\) (3, 7)

  •  (-3 , 0) \(\bigcup\) (0, 1)

  • None of these 

Solution:

NA

Q5.

If A is a finite set having  elements, then the number of relations which can be defined in A is 

  • 2n

  • n2

  • nn

  • None of these 

Solution:

NA

Q6.

If f(x) = x2 + x - 1 and 4f(x) = f (2x) then find x .

  • 4/3

  • 3/2

  • -3/4

  • None of these 

Solution:

NA

Q7.

If f(x) = x + 2, g(x) = 7x than g of (x) = ______________ . 

  • 7x. x + 2 . 7x

  • 7x + 2

  • 49(7x)

  • None of these 

Solution:

NA