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.

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

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

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.

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

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.

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

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

If n(B)=2 and the number of functions from A and B which are onto is 30, then number of elements in A is (A) 4 (B) 5 (C) 6 (D) none of these