Question 1059874
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The domain is the entire number line excluding the roots of the polynomial   {{{2x^2+x-6}}}   in the denominator.


The roots are the solutions of the quadratic equation


{{{2x^2+x-6}}} = 0.


You can find then by applying the quadratic formula or by factoring. 


The roots are  x = {{{3/2}}}  and  x = -2.


So,  the domain is the entire number line except the numbers  {{{3/2}}}  and  -2.