Results 1 to 4 of 4
Like Tree1Thanks
  • 1 Post By emakarov

Math Help - Inverse/Domain Question

  1. #1
    Newbie
    Joined
    Jan 2013
    From
    manchester
    Posts
    2

    Inverse/Domain Question

    i have this question:

    Restrict the domain of the function f(x) = (2x-3)/(x2-x) so that an inverse function exists. Find the range and domain.

    I've tried to find the inverse of this function, but have found it difficult to make x the subject. Any suggestions?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,545
    Thanks
    780

    Re: Inverse/Domain Question

    Sketch the graph.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2013
    From
    manchester
    Posts
    2

    Re: Inverse/Domain Question

    Thats it? For all other questions it has been specified when i should solve graphically, this time it hasn't, so i have presumed he wants it to be solved by other means
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,545
    Thanks
    780

    Re: Inverse/Domain Question

    The question does not ask you for the formula of the inverse function, only for its range and domain. After you sketch the graph of the original function, you may find its critical points, and this may be enough to find the domain and range. Of course, course requirements vary and you may be required to prove that the graph indeed behaves as in your sketch (for example, that the x-axis is the horizontal asymptote).

    But I usually sketch the graph anyway, if only to understand what I am supposed to prove next.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Inverse trig domain
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: September 9th 2010, 06:41 AM
  2. Domain/Range, and Inverse
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 16th 2010, 11:55 PM
  3. Inverse With Restricted Domain
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: November 19th 2009, 10:28 AM
  4. inverse and the domain...
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 26th 2009, 02:18 AM
  5. Inverse domain
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: May 16th 2008, 09:04 AM

Search Tags


/mathhelpforum @mathhelpforum