If `f: X rarr[1,oo)` is a function defined as `f(x)=1+3x^3,` find the superset of all the sets `X` such that `f(x)` is one-one.

If f:[3,oo)toR is a function defined by f(x)=x^(2)-2x+6 , then the range of f is

If f:[1, oo) rarr [1, oo) is defined as f(x) = 3^(x(x-2)) then f^(-1)(x) is equal to

If a function f: R to R is defined as f(x)=x^(3)+1 , then prove that f is one-one onto.

If 'f' is an invertible function, defined as f(x)=(3x-4)/5, write f^(-1)(x)

A function f: R to R is defined as f(x)=4x-1, x in R, then prove that f is one - one.

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]\

If f:[a,oo)->[a,oo) be a function defined by f(x)=x^2-2a x+a(a+1) . If one of the solution of the equation f(x)=f^(-1)x is 2012 , then the other may be

If A = {1, 2, 3, 4} and B= {1, 2, 3, 4, 5, 6} are two sets and function F: A to B is defined by f(x) = x+2, AA x in A , then prove that the function is one-one and into.