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2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use what you know about transformations!) (2 points) b. What domain should we choose to get only the part of f (x) that is one- to-one and non-decreasing? Give your answer in inequality notation. (2 points) - c. Now use algebra to find f¯¹ (x). (2 points) -4- 3- 2 1 -4 -3 -2 -1 0 1 -1- -2- --3- -4 -N- 2 3 4

2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use what you know about transformations!) (2 points) b. What domain should we choose to get only the part of f (x) that is one- to-one and non-decreasing? Give your answer in inequality notation. (2 points) - c. Now use algebra to find f¯¹ (x). (2 points) -4- 3- 2 1 -4 -3 -2 -1 0 1 -1- -2- --3- -4 -N- 2 3 4

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.7: Function Notation
Problem 17E
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2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use what you know about transformations!) (2 points) b. What domain should we choose to get only the part of f (x) that is one- to-one and non-decreasing? Give your answer in inequality notation. (2 points) - c. Now use algebra to find f¯¹ (x). (2 points) -4- 3- 2 1 -4 -3 -2 -1 0 1 -1- -2- --3- -4 -N- 2 3 4
Transcribed Image Text:2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use what you know about transformations!) (2 points) b. What domain should we choose to get only the part of f (x) that is one- to-one and non-decreasing? Give your answer in inequality notation. (2 points) - c. Now use algebra to find f¯¹ (x). (2 points) -4- 3- 2 1 -4 -3 -2 -1 0 1 -1- -2- --3- -4 -N- 2 3 4
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