Prompt: 1. Create a new post describing a function and its inverse. a. Create a function, f(x), and find the inverse of the function, f-¹(x). b. Choose a value for x and find the value of f(x). List the order of operations that you use to find the value. c. Use the value you found for f(x) to find f-¹ (f(x)). For example, if f(x) = 3, find f-¹(3). List the order of operations that you used to find the value
Prompt: 1. Create a new post describing a function and its inverse. a. Create a function, f(x), and find the inverse of the function, f-¹(x). b. Choose a value for x and find the value of f(x). List the order of operations that you use to find the value. c. Use the value you found for f(x) to find f-¹ (f(x)). For example, if f(x) = 3, find f-¹(3). List the order of operations that you used to find the value
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 52HP
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Transcribed Image Text:Prompt:
1. Create a new post describing a function and its inverse.
a. Create a function, f(x), and find the inverse of the function, f-¹(x).
b. Choose a value for x and find the value of f(x). List the order of operations that you use to find the value.
c. Use the value you found for f(x) to find f-¹ (f(x)). For example, if f(x) = 3, find f-¹(3). List the order of operations that you used to find the value.
2. Choose another student's problem to review.
a. Comment on patterns that you see in their problem, paying close attention to
i. The values of x, f(x), and f-¹ (f(x)).
ii. The order of operations used to find f(x) and f-¹ (ƒ(x)).
b. Describe whether you think these patterns can be generalized to all functions and their inverses.
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