Results 1 to 4 of 4

Math Help - Hyperbola equation

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    2

    Hyperbola equation

    could anyone please help me with this question

    express the function f(x)=6x-5/3x+1 in the form a+(b/(x+c)

    the answer is f(x)= 2-(7)/(3x+1)

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by kaz93 View Post
    could anyone please help me with this question

    express the function f(x)=6x-5/3x+1 in the form a+(b/(x+c)

    the answer is f(x)= 2-(7)/(3x+1)

    thanks
    Spoiler:
    Hint: 6x-5 = 6x+2-7
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,740
    Thanks
    645
    Hello, kaz93!

    Chris showed you a clever method.


    \text{Express the function }f(x)\:=\:\dfrac{6x-5}{3x+1}\,\text{ in the form: }\:a+\dfrac{b}{x+c}

    We can use old-fashioned Long Division.

    . . \begin{array}{ccccc}<br />
&&&& 2 \\<br />
& & -- & -- & -- \\<br />
3x+1 & \bigg) & 6x & - & 5 \\<br />
& & 6x & + & 2 \\<br />
& & -- & -- & -- \\<br />
&&& - & 7 \end{array}



    \text{Therefore: }\;\;\dfrac{6x-5}{3x+1} \;\;=\;\;2 - \dfrac{7}{3x+1}


    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2011
    Posts
    2
    thanks alot man appreciate it
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. equation of hyperbola
    Posted in the Geometry Forum
    Replies: 2
    Last Post: January 9th 2012, 01:41 AM
  2. Hyperbola Equation Help
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 13th 2011, 06:08 AM
  3. Equation of Hyperbola
    Posted in the Geometry Forum
    Replies: 0
    Last Post: March 18th 2010, 04:25 AM
  4. Equation of a Hyperbola
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: November 22nd 2009, 09:49 PM
  5. Hyperbola Equation
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: July 25th 2009, 02:36 PM

Search Tags


/mathhelpforum @mathhelpforum