You have a 60 coupon from the manufacturer flood for the pur

You have a $60 coupon from the manufacturer flood for the purchase of a call phone. The store where you are purchasing your call phone is offering a 30% discount on the cell phones. Let x represent the regular price of the cell phone. Suppose only the 30% discount applies. Find a function f that models the purchase price of the cell phone at a function of the regular price x. Suppose only the $ 60 coupon applies. Find a function g that models the purchase price of the call phone as a function of the seeker price x. If you can use the coupon end the discount, then the purchase price Is ether f middot g(x) or g middot f(x), depending on the order in which they are applied to the price. Find both f middot g(x) and g middot t(x).

Solution

The regular price is $x

purchase price f(x)= x-.3x=.7x

c.f(x)=.7x

g(x)= x-60

fog(x)=f(g(x))= f(x-60) = .7(x-60)=.7x-42

gof(x)= g(f(x))= g(.7x) = .7x-60