# Thread: Composit function (Is this correct or lacking in any way?)

1. ## 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