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Mat 222 Week 1 Assignment 2

I would like to start the beginning of this assignment by saying thank you to my professors of my last two algebra classes at Ashford. Although, this last class has been very frustrating for me with as many technical issues that I have had with the class and I am even ending the class on that note. I want to complete the class and may not be real happy with my grade I know that I have learned a lot of algrebra in the last 10 weeks. With that said this weeks assignment was on Composite and Inverse functions. The inverse of a function has all the same points as the original function, except that the x's and y's have been reversed. This is what they were trying to explain with their sets of points. In function composition, you're plugging entire functions in for the x. Below is my assignment problem for the week. Compositon and InverseWe defne The Following Functons:± (x) = 2x + 5 g(x)= x2 -3 h(x)=7-x/3

For our first discussion I was asked to work two rational expressions and find their domain . Because we are to work the expressions that coordinate with the first letter of our first name, I will be working the rational expressions for the letter “K” which are; x 2 -36/3x and 7w – 2/ 16w 2 -1. The domain of a rational equation is the set of all real numbers for which the equation that is acting as the denominator does not equal zero. We cannot have zero as a denominator because we cannot divide zero into our numerator, hence, division by zero is “undefined”. Since I am only working with the denominator and not the numerator, I will show my work for only the denominators. #1 x 2 – 36 rational expression 3x This first expression was a bit tricky for me, and I am still not sure. The excluded value for the domain is 0 (zero). So my variables X can all real numbers ≠ 0. I believe that this expression, written in set notation would look like (−∞,0) U (0,∞), or we can say x≠0. #2

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