# Maths module 3

Consider the following two functions:

• F(m): The average temperature in Fahrenheit during month (m) of the year.
 Month (m) F(m) Month (m) F(m) Month (m) F(m) January 42 May 72 September 73 February 43 June 83 October 63 March 52 July 84 November 55 April 63 August 84 December 44
• C(f): The conversion formula to calculate the temperature in Celsius based on the temperature in Fahrenheit (f).

• Calculate (C ∘ F) for the month of your choice.
• Discuss the meaning of the function (C ∘ F)(m).
• How does the composition of functions in parts (a) and (b) compare to (F ∘ C)(m)? Are they the same?

Be sure to post an initial, substantive response by Thursday at 11:59 p.m. MST, and respond to two or more peers with substantive responses by Sunday at 11:59 p.m. MST. A substantive initial post answers the question presented completely and/or asks a thoughtful question pertaining to the topic. Substantive peer responses ask a thoughtful question pertaining to the topic and/or answers a question (in detail) posted by another student or the instructor.