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
Let f be exponential function and g be logarithmic function find fog(1)
ex
ln(x)
0
1
Let F: x →y be a given function, then f--1 exists ( or f is invertible) if
f is one- one
f is onto
f is one one but not onto
f is one -one and onto
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) = 11Find gof (5)
11
7
10
5
The relation 'is parallel to' on the set A of all coplanar straight line is an __________ relation
Inverse
Equivalence
Universal
None of these
If f:A → B and g:B → C are onto, then gof:A → C is _________
One - one
Onto
Bijective
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
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)
The function f:R → R given by f(x) = 2x is _________
On to
Let f: A → B, g:B →C and h: C → D then
ho(gof) = (hog) of
hof = hog
(hog) of = hof