n 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.)

INSTRUCTOR GUIDANCE EXAMPLE: Week One DiscussionDomains of Rational ExpressionsStudents, you are perfectly welcome to format your math work just as I have done inthese examples. However, the written parts of the assignment MUST be done aboutyour own thoughts and in your own words. You are NOT to simply copy this wordinginto your posts!Here are my given rational expressions oh which to base my work.25x2 4675 9w9w2 4The domain of a rational expression is the set of all numbers which are allowed tosubstitute for the variable in the expression. It is possible that some numbers will not beallowed depending on what the denominator has in it.In our Real Number System division by zero cannot be done. There is no number (orany other object) which can be the answer to division by zero so we must simply call theattempt undefined. A denominator cannot be zero because in a rational number orexpression the denominator divides the numerator.In my first expression, the denominator is a constant term, meaning there is no variablepresent. Since it is impossible for 67 to equal zero, there are no excluded values for thedomain. We can say the domain (D) is the set of all Real Numbers, written in setnotation that would look like this:D = {x| x } or even more simply as D = .For my second expression, I need to set the denominator equal to zero to find myexcluded values for w.9w2 4 = 0 I notice this is a difference of squares which I can factor.(3w 2)(3w + 2) = 0 Set each factor equal to zero.3w 2 = 0 or 3w + 2 = 0 Add or subtract 2 from both sides.3w = 2 or 3w = -2 Divide both sides by 3.w = 2/3 or w = -2/3 These are the excluded values for my second expression.The domain (D) for my second expression is the set of all Reals excluding 2/3. In setnotation, this can be written as D = {w| w , w 2/3}Now, both of my expressions do not have excluded values. In one expression, I have noexcluded values because there is no variable in the denominator and a non-zero numberwill never just become zero. In the other expression, there are two excluded numbersbecause both, if inserted in place of the variable, would cause the denominator to becomezero and thus the whole expression would become undefined.

Please show all of the steps needed to solve your problem(s). No credit will be awarded for responses containing only the answersyour reasoning and calculations must be included.

Be sure to include all parts of the question and including the bold vocabulary words. Study the example given each week before preparing your document. It is ok to post a Microsoft Word document so you can write the math properly.

Be sure that your post includes the textbook section or page, and the problem numbers, so your classmates can find your problems in the textbook. Or you have stated the problem from the problem list given in the weekly discussion area.

Remember to do all of the problems assigned.

Respond to the postings of at least two other students. You can

o ask a question about your classmates solution

o offer help when you see an error

o seek help in completing your own problems

Remember that nonsubstantive posts such as Good job! will not count toward your participation score.

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g2+ 46g g

3k + 1 k2+ k 42