Excluded Values and Domain of Rational Functions
By: Andrea Bent and Camri Taylor
Finding excluded value:
First, you take the denominator and factor it out, so:
As you can see, you factor it out and you get the factors (x-3)(x-1).
Next, you must set each factor equal to zero and solve.
3 and 1 are the excluded values.
The domain is all real numbers except for 3 and 1.
It is already fully factored so you take the denominator and set it equal to zero:
The domain is all real numbers except for 1.
To find the excluded values, you must set the x in the denominator equal to zero.
This shows that the excluded value is zero. The domain is all real numbers except for zero.