The composition of two bijections is a bijection

The inverse of a bijection is also a bijection

Show that the inverse of a bijective is also a bijection.

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

which of the following functions from ZtoZ is a bijection ?

The inverse of a bijection is unique

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

If f : A to B and g: B to C are two bijective functions then prove that gof : A to C is also a bijection.

Which of the following functions from Z into Z is 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) .

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) .