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6 The function flx)=(x+z}

6 The function flx)=(x+z}

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find restricted domain and the inverse
**Question 6:** The function \( f(x) = (x+8)^2 \) is not one-to-one. Identify the restricted domain that makes the function one-to-one. Also find the inverse. **Explanation:** - The given problem statement requires identifying a domain restriction for the function \( f(x) = (x+8)^2 \) to make it one-to-one. A function is one-to-one if each output value corresponds to exactly one input value. - After restricting the domain, the next task is to find the inverse of the newly restricted function. **Graphs/Diagrams:** - No graphs or diagrams are provided in the image.
Transcribed Image Text:**Question 6:** The function \( f(x) = (x+8)^2 \) is not one-to-one. Identify the restricted domain that makes the function one-to-one. Also find the inverse. **Explanation:** - The given problem statement requires identifying a domain restriction for the function \( f(x) = (x+8)^2 \) to make it one-to-one. A function is one-to-one if each output value corresponds to exactly one input value. - After restricting the domain, the next task is to find the inverse of the newly restricted function. **Graphs/Diagrams:** - No graphs or diagrams are provided in the image.
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