Consider the following two functions:

• F(m): The average temperature in Fahrenheit during month (m) of the year.

• C(f): The conversion formula to calculate the temperature in Celsius based on the temperature in Fahrenheit (f).

For this discussion, your task is as follows:

• 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.

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