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
Let f be exponential function and g be logarithmic function find fog(1)
ex
ln(x)
0
1
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)
11
7
10
5
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: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