Ltx → 2+ [x] is equal to ________.
1
0
2
-1
equals
2 √x
√ x
1/ √ x
1 / 2√x
The function f ( x ) = cosx - sin x / cos2x is not defined at x = π/4. The value of f ( π/4 ) so that f ( x ) is continuous everywhere is ______.
√2
1/√2
Let f: x → y be a function. Then if R ( f ) y,f is said to be ______.
Into function
Onto function
One - one function
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
If f1 (x ) and f2 (x ) are defined on domains D1 and D2 respectively; then the domain of f1 ( x ) + f2 (x ) is _______.
D1 - D2
D1 ∩ D2
D1 D2
D2 - D1
3
8
Domain of √(2-x) is ______.
( - ∞,2 ]
( 2, ∞)
( - ∞, ∞ )
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
One - One function
None
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
