Question

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

Answer 1

Let's say the function for the discount is f and the function for the coupon is g
f(x)= 0.1x
g(x)= x-150
If you want to the the discount then the coupon, your composition function would look like this:
f(g(x))=0.1(x-150)
Hope this helps!

Answer 2

Answer:

C(P(x)) = 0.9x – 150

Step-by-step explanation:

Let x be the original price of the article,

Since, the discount percentage = 10 %,

Thus, the price of the article after getting discount of 10 % = (100-10)% of the original price of the article

= 90% of x

= 0.9x

Now, there is a coupon of $ 150,

Hence, the final price of the article = 0.9x - 150

⇒ C(P(x)) = 0.9x - 150

Which is the required composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.

Answer 3

the answer is (A)