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)
Range of f (x) = is
(0, ∞ )
(0, 5 )
(5, ∞ )
(-5, 5 )
Domain of f (x) = is.
R - { -4 }
R - {4}
R - {2}
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 domain of the rational function
R
R - { 0 }
R - { 0, 1}
R - { 0, 2 }
The function f : R → R defined by f ( x ) = x + 1 is
Injective
Bijective
Inverse
Identity
Domain of f (x) = is
R - { -2, 2 }
R - {-1, 1 }
R - { 2 }
None of these
The function f(x) = is.
Even
Odd
Neither even nor odd
When f (-1) = 3, the polynomial function f (x) of the second degree is
a + b = 1
a + b + c = -3
a - b + c = 3
a - b - c = 3
