Question

Define function and it's types?

Answer 1

Not sure what you mean exactly, but a function is a mapping from a set of inputs to a set of outputs such that for each input there is only one output.

Answer 2

I mean functions like one to one function inverse function and others.

Answer 3

Ah. Gotcha.
A function is one-to-one if for every output there is only one input. This property is also referred to as "injective."
A function is onto if every possible output is hit by some input. This property is also referred to as "surjective."
If a function is both of those, one-to-one and onto, it is called bijective.
If a function is injective, then it has an inverse.

Answer 4

Was that satisfactory? Do you still have further questions?