Reply to the following two prompts.

Explain why it is that when you compose a function and its inverse, the

result is the same as the input argument into the function. i$.$e$.$ why is it

that $f(f^{-1}(y))=y$ and $f^{-1}(f(x))=x.$ Don't forget that you can

insert images to help you explain if you wish.

AND

Function composition takes two separate functions and combines them

into one single function. Describe a real life example $($not one from the

materials I have provided or from the internet$)$ of two processes that can

be modeled by two separate functions that can then be composed into a

single function. Note: you do not need to define actual equations for the

processes$/$functions $($but you can if you want to$).$ Refer back to the

Function Composition Activity for examples.