Domains of Rational Expressions
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.
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x2 - 6x - 55
x2 - 3x - 28
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b - 3
4b2 - 16
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• 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.
o Domain
o Excluded value
o Set
o Factor
o Real numbers
Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.
Required Resources
Text
• Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY: McGraw-Hill Publishing.
• Chapter 6: Rational Expressions
- 6.1 - 6.4
- 6.6 - 6.8
Supplemental Materials
o Inserting math symbols [Handout]. (n.d.). Division of General Education, Ashford University, San Diego, CA.
This handout is available for download in your online classroom.
Recommended Resources
Multimedia
o Mr. T's Math Videos. (2009, January 12). Word problems involving proportions [Video file]. Retrieved from https://www.youtube.com/watch?v=bQ3FgluChH8&feature=related
o otjinenemath. (2010, December 22). Free math lessons dividing rational expressions [Video file]. Retrieved from https://www.youtube.com/watch?v=QwdKoWHrkJo
o yourteachermathhelp. (2008, April 16). Factoring trinomials - MathHelp.com - Algebra help [Video file]. Retrieved from https://www.youtube.com/watch?v=Nj9GgAM-dTQ&feature=related