anonymous
  • 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathstudent55
  • mathstudent55
Wait. Let me do that again.
anonymous
  • anonymous
|dw:1434131206230:dw|
anonymous
  • anonymous
sounds good, hey listen thanks for the help you are providing!

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mathstudent55
  • 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
  • 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
  • mathstudent55
|dw:1434131699286:dw|
mathstudent55
  • mathstudent55
|dw:1434131809022:dw|
mathstudent55
  • mathstudent55
|dw:1434131892317:dw|
anonymous
  • anonymous
OOOOOOH! okay,I see what you did there.
anonymous
  • anonymous
Thanks so much for your help!
mathstudent55
  • mathstudent55
You're welcome.

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