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

x-150

Idk how to show it so sorry

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

The final price of the computer after both discounts is T(x) = 0.9x - 150

We have been given that 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  

We need to choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.

So, we have to formulate a function to combine both the discounts.

The price after 10% discount is 0.9x and the price after $150 coupon is x-150.

So, the composite function that gives the final sale price after 10% discount followed by $150 is given as follows:

Let the final price be denoted as T(x)

Therefore,

T(x) = original price - 10% discount - $150 coupon

T(x) = x - 10% of x -150

T(x) = x - 0.1x - 150

T(x) = 0.9x -150

Hence the final price of the computer after both discounts is T(x) = 0.9x-150

C(P(x)) = 0.9x – 150 is the correct answer.

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)