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Math Help - Combination of Functions

  1. #1
    Amy
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    Exclamation 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.
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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by Amy View Post
    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.
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  3. #3
    Amy
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    Of course , I can do the last
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