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
A function y = f ( x ) is said to even if _______.
f ( - x ) = - f (x )
f ( -x ) = f ( x )
f ( x ) = - f ( x )
f ( x ) = f ( x )
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 _______.
( f o g ) ( x ) = 27 x2 - 18 x + 5
(fog ) ( x ) = 27x2 + 18 x -5
(gof ) ( x ) = 9x2 - 5
(gof ) ( x ) = 9x2 + 6
Let X and Y be two sets having n elements each. Then the total number of bijective functions from X to Y is _______.
n
2n
n2
n!
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 inverse of the function
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
Domain of √(2-x) is ______.
( - ∞,2]
( 2, ∞)
( - ∞, ∞ )
Domain √(x-1) + √(8 - x) is _______.
[1, 8)
( -8,8)
(1,8 ]
[ 1, 8 ]
Let f ( x ) = x-1/ x + 1, then f ( f ( x ) is _______
1/ x
- 1/x
1 / x + 1
1 / x -1
