Let R = {(1,3), (4,2), (2,4), (2,3), (3,1)} be a relation on the set A = {1,2,3,4}. The relation R is
Let f be exponential function and g be logarithmic function. Find (gof) (1)
ex
ln(x)
1
0
If f:A → B and g:B → C are onto, then gof:A → C is _________.
One - one
Onto
Bijective
None of these
Find fog if f(x) = |x| and g(x) = |5x - 2|
|5x - 2|
|5|x| - 2|
||5x - 2||
5|x| - 2
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
If f(x) = ex and g(x) = log x(x > 0), then
fog = gof
fog ≠ gof
fog = x2
The relation 'is parallel to' on the set A of all coplanar straight line is an __________ relation.
Inverse
Equivalence
Universal
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
Domain of √(4x - x2) is