Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By ibdutt

Math Help - Piecewise Functions

  1. #1
    Newbie
    Joined
    Apr 2013
    From
    Melbourne, Australia
    Posts
    15

    Piecewise Functions

    Having some trouble solving this equation.

    Let f(x) and g(x) be defined by

    Piecewise Functions-functions.png

    Find all x for which f(x) = g(x). You must give the exact answer.

    I'm not quite sure how to approach this question. Guidance would be much appreciated.

    Thanks (:
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    828
    Thanks
    209

    Re: Piecewise Functions

    As it appears the f(x) and g(x) will not be equal for any real value of x for the following reasons.
    For in case x < 0 then f(x) = g(x) implies x + 3 = x + 1 which does not make any sense.
    Now for x > = 0 we will get
    x+3 = -x^2 + 2x + 1 that is x^2 -x + 2 = 0 and this quadratic does not have any real roots.
    Thanks from moob
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Functions + Piecewise
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: July 4th 2010, 04:14 AM
  2. Piecewise Functions
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 29th 2009, 09:02 PM
  3. Piecewise functions?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 24th 2009, 11:41 AM
  4. Piecewise functions
    Posted in the Algebra Forum
    Replies: 5
    Last Post: May 11th 2009, 03:16 PM
  5. Piecewise Functions
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 9th 2007, 07:51 AM

Search Tags


/mathhelpforum @mathhelpforum