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- anonymous

Please help!
I will fan and medal! <3
New carpeting can be purchased and installed for $17.50 per square yard plus a $50 delivery fee. Given that the equation for the total cost of purchasing and installing the carpet can be represented by the function c(s) = 17.50s + 50, where c is the total cost, in dollars, of purchasing s square yards of carpet. Find the inverse, and write the square yardage as a function of cost.

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- anonymous

- chestercat

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- mathstudent55

Wait.
Let me do that again.

- anonymous

|dw:1434131206230:dw|

- anonymous

sounds good, hey listen thanks for the help you are providing!

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- mathstudent55

Let's use the conventional notation.
I'll show you an example.
Given function: f(x) = 3x + 5.
1. Replace f(x) with y
y = 3x + 5
2. Switch variables
x = 3y + 5
3. Solve for y
3y = 5x - 5
y = 5/3 x - 5/3
3. Replace y with f^(-1)(x)
f^(-1)(x) = 5/3 x - 5/3

- mathstudent55

In your problem, all you need to do is solve for s, the square yardage, to find the square yardage as a function of cost.

- mathstudent55

|dw:1434131699286:dw|

- mathstudent55

|dw:1434131809022:dw|

- mathstudent55

|dw:1434131892317:dw|

- anonymous

OOOOOOH! okay,I see what you did there.

- anonymous

Thanks so much for your help!

- mathstudent55

You're welcome.

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