1. ## Combination of Functions

The suggested retail price of a new car is p dollars. The dealership advertises a factory rebate of $1200 and an 8% discount. (a) Write a function R in terms of p giving the cost of the car after receiving the rebate from the factory. (b) Write a function S in terms of p giving the cost of the car after receiving the dealership discount. (c) Form the composite functions (R o S)(p) and(S o R)(p) and interpret each. (d) Find(R o S)(18400) and(S o R)(18400) . Which yield the lower cost for the car? Any help is appreciated. 2. Originally Posted by Amy The suggested retail price of a new car is p dollars. The dealership advertises a factory rebate of$1200 and an 8% discount.

(a) Write a function R in terms of p giving the cost of the car after receiving the rebate from the factory.
(b) Write a function S in terms of p giving the cost of the car after receiving the dealership discount.
(c) Form the composite functions (R o S)(p) and(S o R)(p) and interpret each.
(d) Find(R o S)(18400) and(S o R)(18400) . Which yield the lower cost for the car?

Any help is appreciated.
(a) $R=p-1200$
(b) $S=.92p$
(c) $R[S(p)] = .92p-1200$, $S[R(p)] = .92(p-1200)$
(d) I can at least leave something up to you.

The composite functions are used to determine the value after two discounts in two different orders.

3. Of course , I can do the last