Results 1 to 6 of 6

Math Help - Extended Function Formula

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    13

    Extended Function Formula

    f(x)= ((x^2)+4x-5)/((x^2)-1)
    What would be the formula for the extended function that's continuous at x=1?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    I think you require

     <br />
\frac{x^2+4x-5}{x^2-1}= \frac{(x+5)(x-1)}{(x+1)(x-1)}= \frac{(x+5)}{(x+1)}<br />
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2010
    Posts
    13
    I don't know what an extended function is and I have no idea how to find a formula for one, so I'll just hope this is what the question is asking for. Thanks.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Oct 2009
    Posts
    6
    how did you type the answer in that format. Which app or website did you use.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    Quote Originally Posted by bhaskar2 View Post
    how did you type the answer in that format. Which app or website did you use.
    Read the tutroial here: http://www.mathhelpforum.com/math-help/latex-help/
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,232
    Thanks
    1795
    Quote Originally Posted by suchgreatheights View Post
    f(x)= ((x^2)+4x-5)/((x^2)-1)
    What would be the formula for the extended function that's continuous at x=1?
    The reason that is not continuous at x= 1, as it stands, is that the denominator is 0 at x= 1. The reason it is possible to "make it" continuous (it has a "removable" discontinuity) is that the numerator is also 0 at x= 1. And the fact that the numerator is 0 at x= 1 tells you that x- 1 is a factor. You should have thought immediately of x^2+ 4x- 5= (x- 1)(x+ b). Multiply out the right side and it should be easy to see what b must equal.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Dirichlet series of extended Liouville function
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: May 15th 2011, 09:19 AM
  2. Replies: 3
    Last Post: September 11th 2010, 10:27 PM
  3. an extended real-valued function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: March 21st 2010, 10:28 PM
  4. Extended function
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 15th 2009, 05:41 PM
  5. This has to be done by extended LP
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: November 10th 2008, 04:55 PM

Search Tags


/mathhelpforum @mathhelpforum