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Math Help - HELP! Inverse Fuction

  1. #1
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    HELP! 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.
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  2. #2
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    Quote Originally Posted by asweet1 View Post
    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.
    let y = g(x)

    y = 900 + 100x

    step 1 ... swap x and y

    x = 900 + 100y

    step 2 ... solve for y

    x - 900 = 100y

    \frac{x-900}{100} = y

    so ...

     g^{-1}(x) = \frac{x-900}{100}
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  3. #3
    Super Member 11rdc11's Avatar
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    c = 900 + 100x

    To get the inverse solve for x

    c - 900 = 100x

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

    Now just swap variables

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

    There is your inverse

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