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 × B
B × A
The relation 'is parallel to' on the set A of all coplanar straight line is an __________ relation
Inverse
Equivalence
Universal
None of these
Let f be exponential function and g be logarithmic function. Find (gof) (1)
ex
ln(x)
1
0
If f:R →R is defined by f(x) = x2 and g:R → R is defined by g(x) = sinx, then find gof
sin x2
sin2x
cos x
cos2x
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 function f:R → R defined by f(x) = x2 is _________
On - to
One - one
Bijective
Let f: A → B, g:B →C and h: C → D then
ho(gof) = (hog) of
hof = hog
(hog) of = hof
The function f:R → R given by f(x) = 2x is _________
On to
Let f be exponential function and g be logarithmic function find fog(1)
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
