The suggested retail price of a new hybrid car is p dollars. The dealership advertises a factory rebate of $2000 and a 10% discount.
(a) Write a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.
(b) Write a function S in terms of p giving the cost of the hybrid car after receiving the dealership discount.
(c) Find and interpret (R ∘ S) (p) and (S ∘ R) (p).
(d) Find (R ∘ S) (25,795) and (S ∘ R) (25,795). Which yields the lower cost for the hybrid car? Explain.