Copy of Precalculus Honors Module One Lesson Three Activity

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Trident Technical College *

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112

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Mathematics

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Feb 20, 2024

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docx

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3

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Google Doc Access Directions: Please click on File in the upper left corner. If you are working on a Chromebook or Google Docs, choose the Make a copy option and save a copy of the document to your Google Drive. If not, choose the Download as option and then the Microsoft Word (.docx) option to download an editable copy of the document to your computer. Precalculus Honors Module One Lesson Three Activity You must show your step-by-step process to solve each question to receive full credit. 1. a. Find the inverse of the following function using algebra. All work must be shown for full credit. g ( x )= x 2 + 1 1. (x = g(y-1)). 2. (g(x) = x^2+1) 3. (x^2+1 = y). 4. : (x^2 = y-1). 5. (x = g(y-1)). the result is (x = g(y-1)). b. Is g ( x ) a one to one function? Why or why not? The function g is not a one-to-one function. 2. Sketch the inverse of the function shown in the graph below. You may place the inverse on the same grid as the function.
3. Prove that f(x) and g(x) are inverse functions using function composition. All work must be shown for full credit.
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