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
The range of the function f(x) = (x - 2)/( 2 - x), x ≠ 2 is
1
-1
{1}
{-1}
Let f: A → B, g:B →C and h: C → D then
ho(gof) = (hog) of
hof = hog
(hog) of = hof
None of these
Sin-1 x + cos-1x is equal to
π/2
- π/2
If f:R →R is defined by f(x) = x2 and g:R → R is defined by g(x) = sinx, then find gof
sin x2
sin2x
cos x
cos2x
Let f:{2, 3, 4, 5} → {3, 4, 5, 9} and g = {3, 4, 5, 9} → {7, 11, 15} be functions defined as f(2) = 3, f(3) = 4, f(4) = f(5) = 5 and g(3) = g(4) = 7 and g(5) = g(11) = 11 Find gof(4)
11
7
10
5
Let F: x →y be a given function, then f--1 exists ( or f is invertible) if
f is one- one
f is onto
f is one one but not onto
f is one -one and onto
The value of cos-1 (-x) is
cos-1 (x)
-cos-1 (x)
π- cos-1 (x)
none of these
The range of function f(x) = [x] is
Set of all reals
R-Z
Z
The relation '>' on the set R of all real numbers is
Reflexive
Symmetric
Transitive