The relation 'is parallel to' on the set A of all coplanar straight line is an __________ relation.
Inverse
Equivalence
Universal
None of these
If n(A) = 4 and n(B) = 2 then the number of surjections from A to B is _______.
14
2
8
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 f be exponential function and g be logarithmic function find fog(1)
ex
ln(x)
0
1
The function f:R → R given by f(x) = 2x is ________
One - one
On to
Bijective
Let A= {a,b,c} and B= {1,2}. Consider the relation R defined from set A to set B. Then R is equal to set
A
B
A x B
B x A
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: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
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 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)
