If `f: A->A ,\ \ g: A->A` are two bijections, then prove that `fog` is an surjection.

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

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

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

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

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.

If f and g are two increasing functions then show that fog is an increasing function.

Let f:A rarr B;g:B rarr A be two functions such that fog=I_(B). Then; f is a surjection and g is an injection.

Let f: A to B; g: B to A be two functions such that fog = I_B . Then; f is a surjection and g is an injection.