The inverse of a bijection is also a bijection

The inverse of a bijection is unique

The composition of two bijections is a bijection

If f and g are two bijections; then gof is a bijection and (gof)^(-1)=f^(-1)og^(-1)

Let A = [-1, 1]. Which of the following functions on A is not a bijection?

Let y = g(x) be the inverse of a bijective mapping f : R rarr R f(x) = 3x^(3) + 2x . The area bounded by graph of g(x), the x-axis and the ordinate at x = 5 is

A function f is have inverse it should be a bijection

A function f: R->R is defined as f(x)=x^3+4 . Is it a bijection or not? In case it is a bijection, find f^(-1)(3) .

Let A be any non-empty set.Then,prove that the identity function on set A is a bijection.

If f: A-A ,g: A-A are two bijections, then prove that fog is an injection (ii) fog is a surjection.