Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 9 x+1 Is the function one-to-one? O Yes O No What is the inverse function? Select the correct choice below and fill in the answer box within your choice if necessary. OA._f-1(x)= ] OB. The function is not one-to-one.
Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 9 x+1 Is the function one-to-one? O Yes O No What is the inverse function? Select the correct choice below and fill in the answer box within your choice if necessary. OA._f-1(x)= ] OB. The function is not one-to-one.
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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![---
**Determine whether the function is one-to-one. If it is, find a formula for its inverse.**
\[ f(x) = \frac{9}{x+1} \]
---
1. Is the function one-to-one?
- ⃝ Yes
- ⃝ No
---
2. What is the inverse function? Select the correct choice below and fill in the answer box within your choice if necessary.
- ⃝ A. \( f^{-1} (x) = \) \_\_\_
- ⃝ B. The function is not one-to-one.
---
**Explanation for Students:**
To determine whether a function is one-to-one, every element of the range must correspond to exactly one element of the domain. Check the function to see if it passes this criterion.
If the function is one-to-one, find the inverse by swapping \( x \) and \( y \) and solving for \( y \).
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3230e3d-dd38-497e-8c1e-7c1c5570828c%2F8dc8dc06-bd09-4169-a1a0-35a9530ba1cd%2F99z93di_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
**Determine whether the function is one-to-one. If it is, find a formula for its inverse.**
\[ f(x) = \frac{9}{x+1} \]
---
1. Is the function one-to-one?
- ⃝ Yes
- ⃝ No
---
2. What is the inverse function? Select the correct choice below and fill in the answer box within your choice if necessary.
- ⃝ A. \( f^{-1} (x) = \) \_\_\_
- ⃝ B. The function is not one-to-one.
---
**Explanation for Students:**
To determine whether a function is one-to-one, every element of the range must correspond to exactly one element of the domain. Check the function to see if it passes this criterion.
If the function is one-to-one, find the inverse by swapping \( x \) and \( y \) and solving for \( y \).
---
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