If the function f:R → R given by f(x) = x2 + 3x + 1 and g: R → R given by g(x) = 2x - 3 find gof
4x2 - 6x + 1
4x2 + 6x - 1
2x2 + 6x - 1
2x2 - 6x + 1
Domain of √(4x - x2)
[0,4]
(0,4)
R - (0,4)
R - [0,4]
If f:R → R is defined by f(x) = x2 - 3x + 2 then f(f (x)) =
x4 + 6x3 + 10x2 + 3x
x4 - 6x3 + 10x2 - 3x
x4 + 6x2 - 10x2 - 3x
x4 + 6x3 - 10x2 + 3x
If f is any function, then 1/2 [f(x) + f(-x)] is always
even
odd
neither even nor odd
one -one
Let S be the set of all real numbers. Then the relation R = {(a,b) 1 + ab>0} on S is
Reflexive and symmetric but not transitive
Reflexive and transitive but not symmetric
Symmetric and transitive but not reflexive
Reflexive, transitive and symmetric
Let L be the set of all lines in the plane and R be the relation in L, defined as: R = {(L1, L2):L1 is perpendicular to L2}
Reflexive
Symmetric
Transitive
None of these
The range of function f(x) = [x] is
Set of all reals
R-Z
Z
none of these
The range of the function f(x) = (x - 2)/( 2 - x), x ≠ 2 is
1
-1
{1}
{-1}
The value of cos-1 (-x) is
cos-1 (x)
-cos-1 (x)
π- cos-1 (x)
If n(A) = 4 and n(B) = 2 then the number of surjections from A to B is
14
2
8
