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Math Help - composition of functions

  1. #1
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    composition of functions

    in 1954, the tenth general conference on weights and measures adopted the Kelvin K as the basic unit for measuring all international weights and measures. While the kelvin is the standard unit, degrees Farenheit and degrees Celsius are still in common use in the United States. The function C(F)=5/9(F-32) relates Celsius temperatures and Farenheit Temperatures. The function K(C)= C + 273.15 relates celsius temperatures and kelvin temperatures.
    a. use composition of functions to write a function to relate degrees farenheit and kelvins.
    b. write the temperatures -40 degrees F, -12 degrees F, 0 degrees F, 32 degrees F, and 212 degrees F in kelvins
    ^how do i do this?
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  2. #2
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    C(F) means a formula for C in F. In other words it tells you how to find C for a given value of F.

    You can put this expression for C as C in K(C).

    Mathematically: K(C) = K[C(F)]

    Hint: K(C) = C(F) + 273.15


    Once you have an expression for K in terms of F you should be able to use direct substitution to find K for the given values of F
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  3. #3
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    ? i understand but how do i know what functions to apply this to anything.
    *i am looking for F(K) : <--- relation between farenheit and kelvin
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  4. #4
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    C = \frac{5}{9}(F-32)

    K = C + 273.15

    K = \frac{5}{9}(F-32) + 273.15

    if you want the inverse function, solve for F
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