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 (5)
11
7
10
5
If the function f:R → R given by f(x) = x2 + 3x + 1 and g: R → R given by g(x) = 2x - 3, find fog
2x2 + 6x - 1
4x2 - 6x + 1
4x2 + 6x - 1
4x2 + 6x + 1
The relation '>' on the set R of all real numbers is
Reflexive
Symmetric
Transitive
None of these
Domain of √(4x - x2)
[0,4]
(0,4)
R - (0,4)
R - [0,4]
If f:A → B and g:B → C are onto, then gof:A → C is
One - one
Onto
Bijective
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
2x2 - 6x + 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
Let A,B be two sets each with 10 elements. Then the number of all possible bijections from A to B is
20
10!
100
none of these
Let f(x) = cosx, then f(x) is an
even function
odd function
power function
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
