Let f: A → B, g:B →C and h: C → D then
ho(gof) = (hog) of
hof = hog
(hog) of = hof
None of these
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
If f(x) = ex and g(x) = log x(x > 0), then
fog = gof
fog ≠ gof
fog = x2
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) = [x] x ∈ R is
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(4)
11
7
10
5
Domain of √(4x - x2) is
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)
