Question

Ms. Smith wants to buy an HDTV, which is on sale for 35% off the original price of $2299. The sales tax is 6.25%
How would you use composition of functions to find the final price of the HDTV? What two functions would you use?

Answer 1

You'll want one function that calculates the sale price, and one function that calculates the after-tax price.

If the product is 2299 and at a 35% sale, it means that 2299*0.35 = 804.65. But this amount represents the DISCOUNT of the product. To know it's final price, you take the original price minus the discount:
2299-804.65

So... you can represent your sale-price function as
f(x) = x - (x*0.35) where x would be 2299

Answer 2

ok so far?

Answer 3

(Equivalenlty, you can express f(x) = 0.65x by just simplifying that formula)

Answer 4

Thank you so much!!!

Answer 5

Np. :)

Answer 6

I hope you didn't forget to find the sales tax function