Composition of Functions

[cyaun]

How would you use composition of functions to find the sale price of $45 work of candles when a 10% discount is applied first and then an $8 discount is applied.

I found the answer of $32.50 but am really confused on how to use composition of functions to get this answer.
I know it has something to do with f(x) and g(x) and plugging these functions in.

 

[Mrspi]

How would you use composition of functions to find the sale price of $45 work of candles when a 10% discount is applied first and then an $8 discount is applied.

I found the answer of $32.50 but am really confused on how to use composition of functions to get this answer.
I know it has something to do with f(x) and g(x) and plugging these functions in.

Let x = the original price

Let f(x) = x - .10x, or the price AFTER applying the 10% discount

Let g(x) = x - 8, or the price AFTER after applying the $8 discount

Since the 10% discount is to be applied first, you are looking for g(f(x)).....

g(f(x)) = (x - .10x) - 8

Maybe that's what you are supposed to come up with......

 

[cyaun]

Exactly what I was looking for! You are amazing - sometimes we try to make things harder than they really are. Thank you, thank you, thank you,
cyaun