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Need Help

  1. May 9, 2010 #1
    1. The problem statement, all variables and given/known data
    For f(x)=((x^(2)-2x-3)/(x-3)), restrict the domain of f(find Dom (f) first) so that Rnage(f)=(-2,4)U(4,11)



    3. The attempt at a solution
    I found that when x=3, the function will be undefined. so the domain(f) should be (-infinity,3)U(3,+infinity). I GUESS now I should go to the equation again and factor the nomunator so that I get (x-3)(x+1)/(x-3). then f(x)= x+1. as the Range given above. I have to plug it in and solve for x, RIGHT?
    -2<x+1<11
    -3<x<10 = the domain of f with te restriction that x is Not equal to 3. Is that right OR am I missing something?
     
    Last edited: May 9, 2010
  2. jcsd
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