The value of cos-1 (-x) is
cos-1 (x)
-cos-1 (x)
π- cos-1 (x)
none of these
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
The domain of the function f = {(1,3),(3,5),(2,6)} is
1,3 and 2
{1,3,2}
{3,5,6}
3,5 and 6
If f is any function, then 1/2 [f(x) + f(-x)] is always
even
odd
neither even nor odd
one -one
Let f be exponential function and g be logarithmic function. Find (gof) (1) .
ex
ln(x)
1
0
Find fog if f(x) = |x| and g(x) = |5x - 2|
|5x - 2|
|5|x| - 2|
||5x - 2||
5|x| - 2
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
Sin-1 x + cos-1x is equal to
π/2
- π/2
-1
Domain of √(4x - x2)
[0,4]
(0,4)
R - (0,4)
R - [0,4]
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
