The two functions f: R → R, g : R → R are defined by f ( x ) = x2 + 1, g ( x ) = x -1. then fog =
x2
x2 + 2 x + 2
x2 - 2 x + 2
x2 + 2 x
If f (1 + x) = x2 + 1, then f(2 - h) =
h2 - 2 h + 2
h2 + 2 h + 2
h2 - 2 h + 4
h2 + 2 h + 4
The two functions f : R → R. g : R → R are defined by f (x ) = x2 + 1, g ( x ) = x -1, then gof =
x2 - 2
2 x
Domain of f (x) = is.
R
R - { -4 }
R - {4}
R - {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
Domain of f (x) = is
R - { -2, 2 }
R - {-1, 1 }
R - { 2 }
The function f : R → R defined by f ( x ) = x + 1 is
Injective
Bijective
Range of f (x) = is
(0, ∞ )
(0, 5 )
(5, ∞ )
(-5, 5 )
Range of f (x) = is.
[-1, 1 ]
[0 , ∞ ]
[-1, 0 ]
[0, 1 ]
Let f: R →R be a function defined by
f( x ) = 2x + 1. Then f -1 is
x -1
(x - 1)/2
x + 1
(x + 1)/2
