SOLUTION: How would you solve a question such as Determine the domain f(x)= 10/2x^2 - 12 I have tried to solve a similiar equation by factoring the denominator but not sur

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Question 146786: How would you solve a question such as
Determine the domain
f(x)= 10/2x^2 - 12
I have tried to solve a similiar equation by factoring the denominator but not sure what to do after that.



Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+10%2F%282x%5E2+-+12%29+ Start with the given equation


2x%5E2+-+12=0+ Set the denominator equal to zero


2x%5E2=12+ Add 12 to both sides


x%5E2=6+ Divide both sides by 2


x=0%2B-sqrt%286%29+ Take the square root of both sides


So the domain is x is the element of all real numbers where x%3C%3Esqrt%286%29+ or x%3C%3E-sqrt%286%29+