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
The two functions f : R → R. g : R → R are defined by f (x ) = x2 + 1, g ( x ) = x -1, then gof =
x2 - 2
x2 - 2 x + 2
x2
2 x
Range of f (x) = is.
[-1, 1 ]
[0 , ∞ ]
[-1, 0 ]
[0, 1 ]
Domain of f (x) = is
R - { -2, 2 }
R - {-1, 1 }
R - { 2 }
R
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
Let A = { 1, 2}, B = { 3, 4 } and C = { 5, 6 } and F : A → B and g : B → c Such that f ( 1 ) = 3, f ( 2 ) = 4, g ( 3 ) = 5, g ( 4 ) = 6, then go f =
{ (1, 3 ) ( 2, 4 )}
{ (1, 5), ( 2, 6 )}
{ (, 2 ) ( 5, 6 ) }
{ ( 3, 5 ) ( 4, 6 ) }
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
Domain of f (x) = is.
R - { -4 }
R - {4}
R - {2}
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
Let f, g: R → R be defined by f( x ) = 2 x + 1 and g ( x ) = x -1/2, then gof =
x
