<em>Note: Since you have not missed to add the expression in the question. But, I am taking a general rational expression that would have 0, 6 and 9 excluded values in it. But, I would try to make sure that your concept gets cleared by my explanation. </em>
Answer:
Let us take a rational expression as an example:
⇒ x(x -6)(x -9) = 0
⇒ x = 0 or x = 6 or x = 9
<em>The values </em><em>0, 6, and 9 </em><em>are </em><em>excluded </em><em>from the domain of this rational expression as these values make the expression undefined. </em>
Step by Step Explanation:
The real numbers that make the denominator of a rational expression zero are not the part of the domain of a rational expression as these values are termed as restriction values - or excluded values.
Let us take a rational expression as an example:
⇒ x(x -6)(x -9) = 0
⇒ x = 0 or x = 6 or x = 9
It is clear that the real number 0, 6 and 9 would make the denominator zero, hence making the overall rational expression undefined. So, the values x=0, 6 and 9 are excluded from the domain.
The values x=0, 6 and 9 are also called restrictions.
Hence, the domain of this expression is all real numbers except 0, 6, and 9. <em>In other words, the values 0, 6, and 9 are excluded from the domain of rational expression as these values make the expression undefined. </em>
<em>Keywords: domain, excluded values, rational expression</em>
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