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Homework Help: Simplifying difference quotient.

  1. Feb 3, 2010 #1
    1. The problem statement, all variables and given/known data

    See attachment!

    2. The attempt at a solution

    I multiplied by the LCD of (x+h-1)(x-1) and got 6h/h(x+h-1)(x-1) . I then got 6h/h^2+2hx-2h . However, my answer seems to be wrong. What is my error?
     

    Attached Files:

  2. jcsd
  3. Feb 3, 2010 #2

    Mark44

    Staff: Mentor

    After you multiplied top and bottom by the LCD, the denominator is now h(x + h - 1)(x - 1).
    What do you have for the numerator?
     
  4. Feb 3, 2010 #3
    I got 6x-6-6x-6h-1 = -6h-7

    The final answer -6h-7/h(x+h-1)(x-1)

    Is that correct?
     
  5. Feb 3, 2010 #4

    Mark44

    Staff: Mentor

    You have a mistake. The numerator should be 6x - 6 - 6x -6h + 6. As I already said, the denominator is h(x + h - 1)(x - 1).

    What does all that simplify to?
     
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