The function f : R →R, defined by f ( x ) = [x ] ,is _______.
One - one
Onto
Both a and b
Neither a nor b
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 domain of th function where [x ] denotes the greatest integer less than or equal to x, is ______
(0, ∞ )
(-∞, 0)
( -∞, ∞ )
None of these
Let f: x → y be a function. Then if R ( f ) ⊆ y,f is said to be ______.
Into function
Onto function
One - one function
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
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
Domain of √(2-x) is ______.
( - ∞,2]
( 2, ∞)
( - ∞, ∞ )
Sin -1 ( cos x ); 0 ≤ x < 1, is equal to
x - π
x - π/2
π/2 -x
π - x
Domain √(x-1) + √(8 - x) is _______.
[1, 8)
( -8,8)
(1,8 ]
[ 1, 8 ]
Which of the following is false ?
| x + y | ≤ | x | + | y |
| x + y | ≥ | x | - | y |
| x - y | ≤ | x | + | y |
| x - y | ≤ | x | - | y |
