Someone answer asap for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Step-by-step explanation:

We have been given that a discount store’s prices are 25% lower than department store prices. The function represents the cost (c), in dollars, of an item, where x is the department store price, in dollars.  

We are also told that when the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. The function represents d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars.

We are supposed to find the function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month.

We can see that function d(c(x)) is a composite function. To get our composite function we just need to substitute function c(x) in function d(y).

After making the substitution we will get our desired function as,

Upon simplifying our function will be:

Therefore, the function represents the final price of an item when a costumer buys an item that has been in the discount store for a month.

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step-by-step explanation:

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