Use the table below to fill in the missing values. x f(x) 0 8 1 2 2 9 3 0 4 3 5 7 6 1 7 4 8 6 9 5 f(5) = if f(x) = 6 then x = ƒ-¹(7) = if f-¹(x) = 8 then x =
Use the table below to fill in the missing values. x f(x) 0 8 1 2 2 9 3 0 4 3 5 7 6 1 7 4 8 6 9 5 f(5) = if f(x) = 6 then x = ƒ-¹(7) = if f-¹(x) = 8 then 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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![**Problem-Solving Using a Function Table**
Use the table below to fill in the missing values.
| \( x \) | \( f(x) \) |
|--------|-------|
| 0 | 8 |
| 1 | 2 |
| 2 | 9 |
| 3 | 0 |
| 4 | 3 |
| 5 | 7 |
| 6 | 1 |
| 7 | 4 |
| 8 | 6 |
| 9 | 5 |
1. **Find \( f(5) \)**:
\[
f(5) = \_\_\_\_
\]
Use the table to find the value of the function when \( x = 5 \).
2. **Solve for \( x \) when \( f(x) = 6 \)**:
\[
\text{If } f(x) = 6 \text{ then } x = \_\_\_\_
\]
Use the table to find which value of \( x \) corresponds to \( f(x) = 6 \).
3. **Find \( f^{-1}(7) \)**:
\[
f^{-1}(7) = \_\_\_\_
\]
Use the table to determine the value of \( x \) for which \( f(x) = 7 \).
4. **Solve for \( x \) when \( f^{-1}(x) = 8 \)**:
\[
\text{If } f^{-1}(x) = 8 \text{ then } x = \_\_\_\_
\]
Determine the value of \( x \) for which the inverse function \( f^{-1}(x) = 8 \).
### Explanation:
- **Table Description**: The table consists of two columns where the left column (labeled \( x \)) represents the input values, and the right column (labeled \( f(x) \)) represents the output values of the function \( f \).
- **Reading Values from the Table**:
- To find \( f(5) \), locate the row where \( x = 5 \) and read the corresponding \( f(x) \) value.
- For \( f(x) = 6 \),](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6df536a0-f13a-4341-a0f7-2359bab40649%2F4f70aba0-5a6c-4a98-8106-1bcd6051cb78%2F4zp3va_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem-Solving Using a Function Table**
Use the table below to fill in the missing values.
| \( x \) | \( f(x) \) |
|--------|-------|
| 0 | 8 |
| 1 | 2 |
| 2 | 9 |
| 3 | 0 |
| 4 | 3 |
| 5 | 7 |
| 6 | 1 |
| 7 | 4 |
| 8 | 6 |
| 9 | 5 |
1. **Find \( f(5) \)**:
\[
f(5) = \_\_\_\_
\]
Use the table to find the value of the function when \( x = 5 \).
2. **Solve for \( x \) when \( f(x) = 6 \)**:
\[
\text{If } f(x) = 6 \text{ then } x = \_\_\_\_
\]
Use the table to find which value of \( x \) corresponds to \( f(x) = 6 \).
3. **Find \( f^{-1}(7) \)**:
\[
f^{-1}(7) = \_\_\_\_
\]
Use the table to determine the value of \( x \) for which \( f(x) = 7 \).
4. **Solve for \( x \) when \( f^{-1}(x) = 8 \)**:
\[
\text{If } f^{-1}(x) = 8 \text{ then } x = \_\_\_\_
\]
Determine the value of \( x \) for which the inverse function \( f^{-1}(x) = 8 \).
### Explanation:
- **Table Description**: The table consists of two columns where the left column (labeled \( x \)) represents the input values, and the right column (labeled \( f(x) \)) represents the output values of the function \( f \).
- **Reading Values from the Table**:
- To find \( f(5) \), locate the row where \( x = 5 \) and read the corresponding \( f(x) \) value.
- For \( f(x) = 6 \),
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