Raise x to the eigth power, multiply by 11, and then add 3. (a) Write a function of a that performs the operations described above. y = = x8.11+3 (b) Find the inverse of the function. x=181 x-3 11 X
Raise x to the eigth power, multiply by 11, and then add 3. (a) Write a function of a that performs the operations described above. y = = x8.11+3 (b) Find the inverse of the function. x=181 x-3 11 X
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Educational Content on Functions and Their Inverses
#### Operations on Functions
1. **Operation Description:**
- Raise \( x \) to the eighth power, multiply by 11, and then add 3.
2. **Task (a):** Write a function of \( x \) that performs the operations described above.
- The function is given by:
\[
y = x^8 \cdot 11 + 3
\]
- This function has been completed correctly, as indicated by a checkmark (✓).
#### Finding the Inverse
1. **Task (b):** Find the inverse of the function.
- An attempt to find the inverse is shown by:
\[
x = \sqrt[8]{\frac{x - 3}{11}}
\]
- This operation was marked incorrect (✕), indicating an error in the inverse calculation.
This exercise helps understand how to manipulate expressions and determine the inverse, reflecting foundational concepts in algebra and function operations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f680d4f-94aa-4d7a-935b-bbf3923d5869%2F21c6bc90-1e24-4fba-84a1-f1987f3e851a%2Feva2fxp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Content on Functions and Their Inverses
#### Operations on Functions
1. **Operation Description:**
- Raise \( x \) to the eighth power, multiply by 11, and then add 3.
2. **Task (a):** Write a function of \( x \) that performs the operations described above.
- The function is given by:
\[
y = x^8 \cdot 11 + 3
\]
- This function has been completed correctly, as indicated by a checkmark (✓).
#### Finding the Inverse
1. **Task (b):** Find the inverse of the function.
- An attempt to find the inverse is shown by:
\[
x = \sqrt[8]{\frac{x - 3}{11}}
\]
- This operation was marked incorrect (✕), indicating an error in the inverse calculation.
This exercise helps understand how to manipulate expressions and determine the inverse, reflecting foundational concepts in algebra and function operations.
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