SOLUTION: Find the domain of the following function F(x) = -6/(2x^2+x-6)

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Question 1059874: Find the domain of the following function F(x) = -6/(2x^2+x-6)
Answer by ikleyn(52798) About Me  (Show Source):
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The domain is the entire number line excluding the roots of the polynomial   2x%5E2%2Bx-6   in the denominator.

The roots are the solutions of the quadratic equation

2x%5E2%2Bx-6 = 0.

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

The roots are  x = 3%2F2  and  x = -2.

So,  the domain is the entire number line except the numbers  3%2F2  and  -2.