Function by GB Sir

Letf: A rarr B be a function then show that f is a bijection if and only if there exists a function g:B rarr A such that fog =I_(B)&gof=I_(A)& in this case g=f^(-1)

1 PM JEE Mains 2020- Maths | Trignometric Functions and Equations By Shahid Sir | JEE Score Booster

If f:A rarr B,g:B rarr C are bijective functions show that gof:A rarr C is also a bijective function.

If f:A rarr B and g:B rarr C are onto functions show that gof is an onto function.

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

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.

The plant in which GB. Amici discovered pollen tube is:-

Let f:A rarr B and g:B rarr C be two functions and gof:A rarr C is define statement(s) is true?