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
The function f:R → R defined by f(x) = x2 is _________
On - to
One - one
Bijective
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
Let f be exponential function and g be logarithmic function find fog(1)
ex
ln(x)
0
1
If f(x) = ex and g(x) = log x(x > 0), then
fog = gof
fog ≠ gof
fog = x2
If n(A) = 4 and n(B) = 2 then the number of surjections from A to B is
14
2
8
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
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)
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
Let f be exponential function and g be logarithmic function. Find (gof) (1)
