In this discussion, you will discuss the relationship between functions, their inverses, and the results of function operations. Choose one type of function operation (composition, sum or difference, product or quotient) and explore the related question. You may use equations, diagrams, or graphs to organize and present your thoughts.

• If the inverses of two functions are both functions, will the inverse of the composite function made by the original functions also be a function?
• If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function?