SOLUTION: how to find the domain for rational function

Question 163945This question is from textbook intermediate algebra
: how to find the domain for rational function This question is from textbook intermediate algebra

Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
The domain of a rational function will be all the values that you can safely replace a variable with in the denominator of your fraction without producing division by zero, which does not exist.
SAMPLE:
Find the domain of R(x) = (x + 2)/2x
In this sample question, the domain will be ALL REAL NUMBERS EXCEPT THAT X CANNOT = 0.
Why can't x be zero in the given fraction?
Well, if you replace x with zero in the denominator and multiply it by the number 2 that is already there, you will get 0.
LOOK:
Denominator = 2x
If x = 0, then 2 times 0 = 0
We cannot divide by zero. This does not exist. In your math book they call it UNDEFINED.
So, what is the domain in the sample function above?
DOMAIN = ALL REAL NUMBERS EXCEPT THAT X CANNOT BE 0.
Is this clear?

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