Question

All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that represents the price after only a 10% discount is: P(x) = x - 0.1x P(x) = 0.9x The function that gives the price, C, if only a $150 coupon is used is: C(x) = x - 150 Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon

Answer 1

We are given the functions:

P (x) = 0.9 x

C (x) = x – 150

We can generate two composition functions from the given two functions in the form of:

P [C (x)]                and C [P (x)]

Since the problem states that we are to find for the final price after a 10% discount is followed by a $150 coupon then we should find for:

C [P (x)]

The value of C [P (x)] can obtained by plugging in the value of P (x) into x in the equation of C (x), therefore:

C [P (x)] = [0.9 x] – 150

C [P (x)] = 0.9 x – 150                      (ANSWER)