Which of the following is false ?
| x + y | ≤ | x | + | y |
| x + y | ≥ | x | - | y |
| x - y | ≤ | x | + | y |
| x - y | ≤ | x | - | y |
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
Domain of √(2-x) is ______.
( - ∞,2]
( 2, ∞)
( - ∞, ∞ )
None of these
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
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
The inverse of the function
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 ______.
Let f ( x ) = x-1/ x + 1, then f ( f ( x ) is _______
1/ x
- 1/x
1 / x + 1
1 / x -1
