Self-Inverse Functions (for C3)

A set of cards with instructions.
For each function, determine if an inverse exists and what it is.
Say whether each function is self-inverse.
Includes the definition of self-inverse: "A function is self-inverse if the function and its inverse are identical."
Source for the functions: Oxford C3, C4 textbook for Edexcel A-level

I can also provide the Tarsia file from which the cards are made. PM me on twitter handle @mathsfeedback.