SOLUTION: show how to find the domain expressed in interval notation g(x)= (3x-7) / (2x^2-3x-5)

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Question 259180: show how to find the domain expressed in interval notation
g(x)= (3x-7) / (2x^2-3x-5)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all x except for x which make the denominator zero since division by zero is not allowed.
2x%5E2-3x-5=0
%282x-5%29%28x%2B1%29=0
Two solutions:
+2x-5=0
2x=5
x=5%2F2
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+x%2B1=0
x=-1
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(-infinity,-1)U(-1,5%2F2)U(5%2F2,infinity)
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+graph%28+300%2C+300%2C+-5%2C+5%2C+-2%2C+2%2C+%283x-7%29%2F%282x%5E2-3x-5%29%29+