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!
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
Into function
One - One function
None
If the inverse of the function f ( x ) = -x is g ( x ), then
g ( x ) = x
g ( x ) = -x
g ( x ) = 1/x
g ( x ) = -1 /x
The inverse of the function
None of these
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
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
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
A function y = f ( x ) is said to be odd if _______.
f ( - x ) = - f (x )
f ( -x ) = f ( x )
f ( x ) = - f (x )
f ( x ) = f (x )
The function f : R →R, defined by f ( x ) = [x ] ,is _______.
One - one
Onto
Both a and b
Neither a nor b
Domain of √(2-x) is ______.
( - ∞,2]
( 2, ∞)
( - ∞, ∞ )
