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 g o f(2)
7
11
10
5
Let f be exponential function and g be logarithmic function find fog(1)
ex
ln(x)
0
1
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(x) = ex and g(x) = log x(x > 0), then
fog = gof
fog ≠ gof
fog = x2
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