An appliance dealer advertises a 35% discount on all his washing machines. In ad

Question

An appliance dealer advertises a 35% discount on all his washing machines. In addition, the manufacturer offers a $55 rebate on the purchase of a washing machine. Let x represent the sticker price of the washing machine. Suppose only the 35% discount applies. Fund a function f that models the purchase price of the washer as a function of the sticker price x f(x) = _____ Suppose only the $55 rebate applies. Find a function g that models the purchase price of the washer as a function of the sticker price x. g(x) = _____ Find f o g. _____ Find g o f. _____ What do functions represent? f o g represents first applying the _____, and then the _____, g o f represents first applying the _____, and then the _____. Which is the better deal? f o g g o f both deals are equally good

Explanation / Answer

a) f(x) = x - 0.35x -55 = 0.65x - 55

b) g(x) = x - 55

c) fog = f ( x-55) = 0.65 ( x-55) - 55 = 0.65x - 85.75

gof = g(0.65x - 55) = 0.65x - 55 - 55 = 0.65x - 110

gof is better deal

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