If functions `f:A to B` and `g : B to A` satisfy `gof= I_(A),` then show that `f` is one-one and g is onto.

If functions f : A rarr B and g : B rarr A satisfy gof = I_A , then show that f is one one and g is onto.

For functions f: A rarr B and g : B rarr A , gof = I_A . Prove that f is one one and g onto functions .

Let f:A rarr B and g:B rarr C be two functions.Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Let f: A to B and g: B to C be two functions. Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Let f: A to B and g: B to C be two functions. Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Show that if f: A to B and g : B to C are one-one, then gof :A to C is also one-one.

Show that if f: A to B and g : B to C are one-one, then gof :A to C is also one-one.

Show that if f: A to B and g : B to C are one-one, then gof :A to C is also one-one.

Let f : A rarr B, g : B rarr C be two functions such that gof is one-one and onto. Show that f is one-one and g is onto.