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).

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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.