Results 1 to 3 of 3

Math Help - image sets and inverse set

  1. #1
    Newbie
    Joined
    Mar 2010
    Posts
    11

    image sets and inverse set

    Let  F: R \rightarrow R be defined by  h(x) = 2 - x^2 .
    (a) Find the following F-image sets: F((1,3]) and F((1,2)])
    (b) Find the following F-Inverse image sets:  F^{-1}([2,2]), F^{-1}(1, \infty )) , and F^{-1} ([-8,0])


    Can anyone help me understand images and inverse images??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Quote Originally Posted by txsoutherngirl84 View Post
    Let  F: R \rightarrow R be defined by  h(x) = 2 - x^2 .
    (a) Find the following F-image sets: F((1,3]) and F((1,2)])
    (b) Find the following F-Inverse image sets:  F^{-1}([2,2]), F^{-1}(1, \infty )) , and F^{-1} ([-8,0])


    Can anyone help me understand images and inverse images??
    Suppose we have two sets A,B which are one to one and onto where f: A \rightarrow B and a and b are elements of A,B respectively.

    Lets say A send a to b in B. b is the image of a and a is the pre-image of b.

    What would be the inverse the image of b then?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2010
    Posts
    11
    can b be its own image since a is the image of a?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Inverse image of a function defined on R
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: October 12th 2011, 02:05 AM
  2. A question about image of inverse functions
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: October 29th 2009, 08:30 AM
  3. inverse image question, is it correct?
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: June 20th 2009, 07:47 AM
  4. Continuity & inverse image of closed sets being closed
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: March 9th 2009, 05:07 PM
  5. Prove that the inverse image of V is a subspace in X.
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: June 22nd 2008, 01:25 AM

Search Tags


/mathhelpforum @mathhelpforum