Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is c(p) = 0. 85p, where p is the original price of the car. He also knows he has to pay 9% sales tax on the car. The price of the car with tax is f(c) = 1. 09c, where c is the sale price of the car. Determine the composite function that can be used to calculate the final price of Jonah's car. C[f(c)] = 1. 94c f[c(p)] = 0. 9265p c[f(c)] = 0. 9265c f[c(p)] = 1. 94p.

Respuesta :

The composite function that can be used to calculate the final price of Jonah's car is f[c(p)] = 0. 9265p.

What is a composite function?

A composite function is a function that is in another function, such that on solving the composite function the result is the same as the function solve individually.

We know that the sale price of Jonah's car is c(p) = 0. 85p, where p is the original price of the car. Also, the tax on the car is 9% of the sale price, and the final price of the car is f(c) = 1. 09c, including tax, therefore, the composite function can be written as,

[tex]f(c) = 1.09 c[/tex]

We already know the value of c, therefore,

[tex]f(c(p)) = 1.09 (0.85p)\\\\f(c(p)) = 10.9265(p)[/tex]

Hence, the composite function that can be used to calculate the final price of Jonah's car is f[c(p)] = 0. 9265p.

Learn more about the Composite function:

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