Let f be exponential function and g be logarithmic function. Find (gof) (1) .
ex
ln(x)
1
0
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:{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(3)
11
7
10
5
Domain of √(4x - x2)
[0,4]
(0,4)
R - (0,4)
R - [0,4]
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)
If n(A) = 4 and n(B) = 2 then the number of surjections from A to B is
14
2
8
If f:A → B and g:B → C are onto, then gof:A → C is
One - one
Onto
Bijective
None of these
The range of function f(x) = [x] is
Set of all reals
R-Z
Z
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
If f(x) = (2x + 1)/3x - 2 then (fof) (2) is equal to
3
4
