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. You are encouraged to think about this question as you progress through the unit. Post a detailed response to the discussion prompt. Then comment on at least two other posts. To understand how you will be graded for this assignment, read the Discussion Guidelines and Rubric. Choose any two specific functions that have inverses. Use your chosen functions to answer any one of the following questions:

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?
If the inverses of two functions are both functions, will the inverse of the product or quotient of the original functions also be a function?