Show that if `f : A ->B` and `g : B ->C`are onto, then `gof : A ->C` is also onto.

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

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

If f: A->B and g: B->C are one-one functions, show that gof is one-one function.

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

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

Are f and g both necessarily onto, if gof is onto?

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.

Show that the function f(x)=3x+ 2 is one-one and onto

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 the function f : R ->R , defined as f(x)=x^2 , is neither one-one nor onto.