Domains of Rational Expressions

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Mathematics

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Week 1 Discussion In this discussion, you are assigned two rational expressions to work on. Remember to factor all polynomials completely. Read the following instructions in order and view the example to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.) My number is 36 and here is my two rational expressions. x2 – 25 23 b2-18b+81 3b2-12 •Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero. •Find the domain for each of your two rational expressions. •Write the domain of each rational expression in set notation (as demonstrated in the example). •Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no, explain why no exclusions are necessary. •Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work. ◦Domain ◦Excluded value ◦Set ◦Factor ◦Real numbers
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Week 1 Discussion

In this discussion, you are assigned two rational expressions to work on. Remember to factor all
polynomials completely. Read the following instructions in order and view the example to
complete this discussion. Please complete the following problems according to your assigned
number. (Instructors will assign each student their number.)

x2 – 25
23

The domain of a rational expression is the set of all possible real numbers that we can
substitute for x, so that we get a real number as answer. That is we should be able to evaluate the
expression. We know we can’t divide a real number by 0, and a rational expression has
denominator (it is defined as a polynomial divided by another polynomial), we have to make sure
the denominator never becomes 0. So we have to eliminate the values of x that makes the
denominator 0 from the domain. These values of x are called excluded values. To find these x –
values, we solve the denominator. That is we set the denominator equal to 0 and solve for x.
these solutions of x are the excluded values, that have to be excluded from the domain. Some
rat...


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