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Math Help - Composit function (Is this correct or lacking in any way?)

  1. #1
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    Composit function (Is this correct or lacking in any way?)

    A coupon for $5 off any lunch price states that a 15% tip will be added to the price before the $5 is subtracted. So, C(x) = x - 5 represents the price after the coupon reduction.
    T(x) = 1.15 x represents the price after the tip is applied. Calculate C(T(x)) and T(C(x)). Which composite function represents the conditions of the coupon?

    Here is my work:

    (CoT)(x) = c(T(x)) = C(1.15x) = 1.15x - 5
    (ToC)(x) = T(C(x)) = T(x - 5) = 1.15(x-5) = 1.15x - 5.75

    The composite function which represents the conditions of the coupon is (CoT)(x).

    Thanks much
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  2. #2
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    I agree with your answer.
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