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homeworkconsultingduscussion.docx - DISCUSSION 1 Before...

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DISCUSSION 1Before finding the inverse of a function, we have to understand and verify if the inverse exists.This can be done quickly using the horizontal line test. If there is a way to draw a horizontal linesuch that it touches the function twice, the inverse doesn’t exist. Now, if we have verified theinverse exists, we move on to calculating its value. Firstly, we replace f(x) with y. Afterward, wemanipulate the equation and rewrite it such that we get x in terms of y. Finally, we replace x withf-1(x) and every y with x. This is the equation for the inverse of f(x). Intuitively we can infer thatboth the function and its inverse are related. When we observe f(x), we realize that its domain isequal to the range of f-1(x). Further, the domain of f-1(x) is equal to the range of f(x). Hence, thefunction and its inverse have a close relationship in terms of their domain and range.DISCUSSION 2Two properties of logarithmic equations that have several applications are the following;1)logb
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Fall
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NoProfessor
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Logarithm

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