Solve f (x ) = 2 x2 -12 x + 50 ≤ 0
x = 12
x = 5, 2
x = 25, 2
Has no solution
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
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
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
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
Let f, g: R → R be defined by f( x ) = 2 x + 1 and g ( x ) = x -1/2, then gof =
x
2 x
Range of f (x) = is
(0, ∞ )
(0, 5 )
(5, ∞ )
(-5, 5 )
The function f(x) = is.
Even
Odd
Neither even nor odd
None of these
Let f, g : R → R be defined by f ( x ) = 2 x + 1, and g ( x ) = x-1/2, then find fog
x/2
Range of f (x) = is.
[-1, 1 ]
[0 , ∞ ]
[-1, 0 ]
[0, 1 ]
