Results 1 to 3 of 3

Math Help - Inverse function - domain

  1. #1
    Senior Member
    Joined
    Jul 2008
    Posts
    347

    Exclamation Inverse function - domain

    Hi

    State a domain for which the function y = (x-1)^2-3 does not have an inverse. Give a brief reason for your answer.

    Could someone please explain the solution to me: The function will not have an inverse if there are included values of x on both sides of x=1, so no inverse for -1<= x <=3, say.

    I've found the inverse function: y = 1+sqrt[x+3]
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    Posts
    806
    Thanks
    4
    Quote Originally Posted by xwrathbringerx View Post
    Hi

    State a domain for which the function y = (x-1)^2-3 does not have an inverse. Give a brief reason for your answer.

    Could someone please explain the solution to me: The function will not have an inverse if there are included values of x on both sides of x=1, so no inverse for -1<= x <=3, say.
    I've found the inverse function: y = 1+sqrt[x+3]
    Square root of negative quantity is not possible. In the given problem at what value of x it happens?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by xwrathbringerx View Post
    Hi

    State a domain for which the function y = (x-1)^2-3 does not have an inverse. Give a brief reason for your answer.

    Could someone please explain the solution to me: The function will not have an inverse if there are included values of x on both sides of x=1, so no inverse for -1<= x <=3, say.

    I've found the inverse function: y = 1+sqrt[x+3]
    Does not have an inverse function, I assume you mean. Answer: Any domain over which the given function is NOT one-to-one.

    Quote Originally Posted by sa-ri-ga-ma View Post
    Square root of negative quantity is not possible. In the given problem at what value of x it happens?
    Since the domain of the inverse function is equal to the range of the function, this is not a relevant question to ask.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Finding the domain of an inverse function
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 12th 2011, 09:44 AM
  2. domain of a 1-1 function and its inverse
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 6th 2010, 02:42 PM
  3. Finding the Domain of an Inverse Function
    Posted in the Calculus Forum
    Replies: 10
    Last Post: January 20th 2010, 07:47 PM
  4. inverse function and domain and range
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: May 14th 2008, 02:45 AM
  5. Domain Inverse Function
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 11th 2007, 06:22 PM

Search Tags


/mathhelpforum @mathhelpforum