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Finding the domain for a rational function.

  1. Jun 9, 2014 #1
    Hi I have the function
    ImageUploadedByPhysics Forums1402359003.204534.jpg

    I have worked out the domain as not equal to 1 using the fact the denominator can't equal 0. Now I am stuck finding the range. How would I find it without graphing. The answer is y<0 , y=>3.
     
  2. jcsd
  3. Jun 9, 2014 #2

    jbunniii

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    There's one more value of ##x## which must be excluded.
    After excluding ##1-x^2 = 0##, you are left with either ##1 - x^2 < 0## or ##1 - x^2 > 0##. Try writing these inequalities in terms of ##x## instead of ##x^2##.
     
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