SOLUTION: Hello, I really need some help on this problem I was assigned. It's pretty challenging.. Thank you in advance! You have a $50 coupon from the manufacturer good for the purcha

Question 983509: Hello, I really need some help on this problem I was assigned. It's pretty challenging.. Thank you in advance!
You have a $50 coupon from the
manufacturer good for the purchase of a cell phone. The store
where you are purchasing your cell phone is offering a 20%
discount on all cell phones. Let x represent the regular price of
the cell phone.
(a) Suppose only the 20% discount applies. Find a function f
that models the purchase price of the cell phone as a function of the regular price x
(b) Suppose only the $50 coupon applies. Find a function g
that models the purchase price of the cell phone as a function
of the sticker price x.
(c) If you can use the coupon and the discount, then the purchase
price is either (f o g)x or (g o f)x , depending on the
order in which they are applied to the price. Find both (f o g)x and (g o f)x . Which composition gives the lower price?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Let x = regular price of the cell phone.
(a) Suppose only the 20% discount applies.
.
f(x)=0.8x
.
(b) Suppose only the $50 coupon applies.
.
g(x)=x-$50
.
(c) If you can use the coupon and the discount, then the purchase
price is either (f o g)x or (g o f)x. Which composition gives the lower price?
.
f(g(x))=0.8(x-$50)
g(f(x))=0.8x-$50 This is the lower price.
RELATED QUESTIONS
Hello, I really need some help with this problem 3x - 4y - 12 < 0 Thank you in... (answered by tutorcecilia)

Hello, I need some help with factoring. I have a problem and I am not sure that I am... (answered by stanbon)

Hello, I am stuck on a problem and I need some help please. The problem is the... (answered by Alan3354)

Hello, I have a problem please help me with it: square root 34 * square root 17... (answered by Alan3354)

Hello, I need some help with this problem: Find the x intercepts of the quadratic... (answered by EMStelley)

Having trouble with this problem. I need a step by step on how to do it since I have a... (answered by fcabanski)

I need help solving this problem I do not have a clue how to do it...thank you for you... (answered by stanbon,malakumar_kos@yahoo.com)

Hello, I was hoping you could help me verify this identity. I'm actually really good at... (answered by stanbon,lwsshak3)

I am working in week eight of math 116. I am on problem 13 which the first part is a... (answered by solver91311,Edwin McCravy)