Range of function f (x) = is.
( -∞, 1 )
(-∞, 1 ]
(1, ∞ )
(0, ∞ ]
The domain of the rational function
R
R - { 0 }
R - { 0, 1}
R - { 0, 2 }
Range of f (x) = is.
[-1, 1 ]
[0 , ∞ ]
[-1, 0 ]
[0, 1 ]
Let f, g : R → R be defined by f ( x ) = 2 x + 1, and g ( x ) = x-1/2, then find fog
x2
x/2
2 x
x
None of these
The function f(x) = is.
Even
Odd
Neither even nor odd
Let f: R →R be a function defined by
f( x ) = 2 x + 1. Then f -1 is
x -1
(x - 1)/2
x + 1
(x + 1)/2
If each element of the range is associated with exactly one element of the domain, then it is said to be _______ function.
On to
One to one
Inverse
Identity
If f(x) = x + 1/x , then which of the following is correct?
[ f (x) ]3 = f (x)3 + 3 f (x)
[ f (x) ] 3 = f (x)3 - 3 f (1/x)
[ f (x) ]3 = f (x 3 )+ 3 f (1/x)
f (x)3 = (f [x])3 - 3 f (x)
The two functions f, g : R → R are defined by f (x ) = x + 1, g ( x ) = x2
The value of f + g is
x2 + x + 1
x2 - 1
x2 - x + 1
x2 + 1