a Find the percentage of money left after the discount is applied.
B
b Apply the rebate for each purchase of a computer.
C
c Use the function rule of f(x) as the input for g(x).
D
d Use the function rule of g(x) as the input for f(x).
A
a f(x)=0.95x
B
b g(x)=x-200
C
c $1225
D
d $1235
Practice makes perfect
a We know that a computer store offers a 5 % discount off of the list price x for any computer bought with cash. Let f(x) model the price after the 5 % cash discount.
f(x)=x-0.05x ⇔ f(x)=0.95x
Given the list price x, we can find the discounted price using the function above.
b We also know that the manufacturer offers a $ 200 rebate for each purchase of a computer. Therefore, the function g(x) that gives the price after this rebate is written as follows.
g(x)=x-200
c Assuming the list price of a computer is $1500, we want to find the price of the computer in which the discount is applied before the rebate. To find it, we need to use f(1500) as the input for g(x). Now, let's evaluate f(1500).
