Domain √(x-1) + √(8 - x) is _______.
[1, 8)
( -8,8)
(1,8 ]
[ 1, 8 ]
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
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
Which of the following is false ?
| x + y | ≤ | x | + | y |
| x + y | ≥ | x | - | y |
| x - y | ≤ | x | + | y |
| x - y | ≤ | x | - | y |
The domain of th function where [x ] denotes the greatest integer less than or equal to x, is ______
(0, ∞ )
(-∞, 0)
( -∞, ∞ )
None of these
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 even 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
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
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
