You can put this solution on YOUR website! Reminder: The domain is the set of all allowable inputs. You can think of this as the set of all possible 'x' values (that produce some number as an output).
Remember that you CANNOT divide by zero. So if the denominator , then (solve for 'x'). This means that if , then .
In other words, if , then the denominator is zero (which is not allowed). So we must exclude this value from the domain. Since there are no other values that make the denominator zero, this means that the only value to exclude from the domain is
So the domain is the set of all real numbers except
We denote this in interval notation as
Basically, this is the interval with the number taken out of it.
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