The cost of producing x air conditioners is c=g(x)=900+100x. Find a formula for the inverse function g^-1(c). I don't understand inverse functions at all. Please help me.

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- Sep 9th 2008, 03:03 PMasweet1HELP! Inverse Fuction
The cost of producing x air conditioners is c=g(x)=900+100x. Find a formula for the inverse function g^-1(c). I don't understand inverse functions at all. Please help me.

- Sep 9th 2008, 03:10 PMskeeter
- Sep 9th 2008, 03:12 PM11rdc11
$\displaystyle c = 900 + 100x$

To get the inverse solve for x

$\displaystyle c - 900 = 100x$

$\displaystyle \frac{c}{100} -9 = x$

Now just swap variables

$\displaystyle c = \frac{x}{100} -9$

There is your inverse

$\displaystyle g^{-1}(x) = \frac{x}{100} -9$