Find Domain of PreCalculus Functions Algebraically

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How do you find the domain of functions algebraically?

ex (3x-1)/(x+3)(x-1)
 
on Phys.org
The domain of values for which this function will have a solution is simply all values except the ones that cause division by zero. So for this example if x = -3 or x = 1 there would be division by zero.

So the domain is all real values except x = 1 or x = -3.

Thanks
Matt
 

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