Results 1 to 3 of 3

Thread: HELP! Inverse Fuction

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    71

    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.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    16,216
    Thanks
    3701
    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 $\displaystyle y = g(x)$

    $\displaystyle y = 900 + 100x$

    step 1 ... swap x and y

    $\displaystyle x = 900 + 100y$

    step 2 ... solve for y

    $\displaystyle x - 900 = 100y$

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

    so ...

    $\displaystyle g^{-1}(x) = \frac{x-900}{100}$
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member 11rdc11's Avatar
    Joined
    Jul 2007
    From
    New Orleans
    Posts
    894
    Thanks
    1
    $\displaystyle c = 900 + 100x$

    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

    $\displaystyle g^{-1}(x) = \frac{x}{100} -9$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivative of inverse tan fuction
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Jun 4th 2011, 09:42 PM
  2. Inverse Laplace Transform of the following fuction
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: Mar 13th 2010, 11:54 PM
  3. inverse fuction help !
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Nov 23rd 2009, 11:51 AM
  4. Fuction help
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: Sep 13th 2009, 09:52 PM
  5. Fuction Help!
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Nov 18th 2007, 04:07 AM

Search Tags


/mathhelpforum @mathhelpforum