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
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
Sin-1 x + cos-1x is equal to
π/2
- π/2
1
-1
Let f be exponential function and g be logarithmic function. Find (gof) (1) .
ex
ln(x)
0
The range of the function f(x) = (x - 2)/( 2 - x), x ≠ 2 is
{1}
{-1}
A relation R on a set A is called an equivalence relation iff
it is reflexive
it is symmetric
it is transitive
it is reflexive, symmetric and transitive
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
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 g o f(2)
7
11
10
5
If f:A → B and g:B → C are onto, then gof:A → C is
One - one
Onto
Bijective
None of these
The relation 'is parallel to' on the set A of all coplanar straight line is an __________ relation
Inverse
Equivalence
Universal
