A function y = f ( x ) is said to even if _______.
f ( - x ) = - f (x )
f ( -x ) = f ( x )
f ( x ) = - f ( x )
f ( x ) = f ( x )
R is the set of real numbers and f : R → R and g : R → R are defined by f( x ) = 3x2 + 2 and g ( x ) = 3x -1 . Then _______.
( fog ) ( x ) = 27 x2 - 18 x + 5
(fog ) ( x ) = 27x2 + 18 x -5
(gof ) ( x ) = 9x2 - 5
(gof ) ( x ) = 9x2 + 6
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
Into function
One - One function
None
Domain of √(2-x) is ______.
( - ∞,2]
( 2, ∞)
( - ∞, ∞ )
None of these
Let f ( x ) = x-1/ x + 1, then f ( f ( x ) is _______
1/ x
- 1/x
1 / x + 1
1 / x -1
The function f : R →R, defined by f ( x ) = [x ] ,is _______.
One - one
Onto
Both a and b
Neither a nor b
The range of the function is.
( -∞, - 1/4 )
R - { - 1/4, - 1/ 20 }
[ - 1/20, ∞ )
Let f: x → y be a function. Then if R ( f ) ⊆ y,f is said to be ______.
Onto function
One - one function
Sin -1 ( cos x ); 0 ≤ x < 1, is equal to
x - π
x - π/2
π/2 -x
π - x
If the inverse of the function f ( x ) = -x is g ( x ), then
g ( x ) = x
g ( x ) = -x
g ( x ) = 1/x
g ( x ) = -1 /x