Which of the following function is periodic in R ?
f ( x ) = log x
f ( x )= ex
f (x ) = x - [x ] where [ x ] denotes the greatst integer ≤ x
f ( x ) = [ x ] + x
The function f : R →R, defined by f ( x ) = [x ] ,is _______.
One - one
Onto
Both a and b
Neither a nor b
Let f ( x ) = x-1/ x + 1, then f ( f ( x ) is _______
1/ x
- 1/x
1 / x + 1
1 / x -1
Sin -1 ( cos x ); 0 ≤ x < 1, is equal to
x - π
x - π/2
π/2 -x
π - x
A function f : X → X is called an identity function if :
f ( x ) = c , where C is some constant.
f (x ) = x
f ( x ) = 1
None of these
The range of the function is.
( -∞, - 1/4 )
R - { - 1/4, - 1/ 20 }
[ - 1/20, ∞ )
If f (x ) = x/(x - 1), x ≠ 1, then f -1 ( x ) is.
x-1/x
x / x -1
1 - x /x
x / 1 -x
Let f: x → y be a function. Then if R ( f ) ⊆ y,f is said to be ______.
Into function
Onto function
One - one function
Let f : A →B and A ⊆ R and B ⊆ R be defined by y = f (x ), where x ⊂ A, Y ⊂ B, then f is called ______.
Real function
One - One function
None
R is the set of real numbers and f : R → R and g : R → R are defined by f( x ) = 3x2 + 2 and g ( x ) = 3x -1 . Then _______.
( fog ) ( x ) = 27 x2 - 18 x + 5
(fog ) ( x ) = 27x2 + 18 x -5
(gof ) ( x ) = 9x2 - 5
(gof ) ( x ) = 9x2 + 6
