Question 444213
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Hi
Finding Any Restrictions 
Note: generally the restrictions would be when the DENOMINATOR = 0
      as there can be NO zero in a denominator
 {{{(x^2 +7x +12) /( x^2-9)}}}  Restrictions:  x&#8800; 3 and x&#8800; -3
 {{{((x+3)(2x-1) / x(x+4) )/( (-x-3)(2x+1)/x) = ((x+3)(2x-1) / x(x+4) ) *(x/(-x-3)(2x+1) )}}}  Restrictions:  x&#8800; 0, -4,-3,-1/2
{{{x(x+4)/(x-2) + (x-1)/(x^2-4)}}}  Restrictions:  x&#8800; 2, -2
             Note: x^2-4 = (x-2)(x+2)