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:[1, oo) rarr [2, oo) is defined by f(x)=x+1/x , find f^(-1)(x)

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

If f(x) is a one to one function, where f(x)=x^(2)-x+1 , then find the inverse of the f(x):

If f:R rarr R be a function defined by f(x)=4x^(3)-7. show that F is one - one mapping.

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

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

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

Let f:R rarr R be the function defined by f(x)=4x-3 for all x in R. Then write f^(-1) .

If is a real valued function defined by f(x)=x^(2)+4x+3, then find f'(1) and f'(3)