Suppose f : N→N and g :N→N , function f is not onto but f+g is onto function  does g onto function ?

Give an example of a sequence of continous functions on a compact domain converging pointwise but not uniformly to a continuous function.

How many injective functions have domain [3], codomain [101], and are not surjective?

Let f: A --> B be a function. Show (or disprove) that the following are equivalent. (1) f is surjective (2) f has a right inverse (3) f satisfies right cancellation. It suffices to show three equivalence statements (like a triangle).