2. To convert from Fahrenheit to Celsius, you subtract 32 from your Fahrenheit temperature and then multiply that result by 5/9. This final result gives the temperature in Celsius.
(a) Suppose that you are told it is 25 degrees Celsius outside. What is the temperature in degrees Fahrenheit?
(b) Describe how you found your answer to (a), and use that as a launching point to explain the general process for converting from Celsius to Fahrenheit.
(c) Write a function whose input is the temperature in Fahrenheit and whose output is the temperature in Celsius
(d) Write a function whose input is the temperature in Celsius and whose output is the temperature in Fahrenheit.
(e) Compose the two functions from (c) and (d). Did you expect to get that result? Why or why not?
3. Let f be a function with an inverse, and suppose f(2) = 5. Ie, the point (2,5) is on the graph of f.
(a) What point does this the above information tell us is on the graph of f^-1? Explain your reasoning.
(b) Write the point from (a) in the form f^-1(a) = b