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)
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Author:Robert F. Blitzer
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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 \( f(x) = 6 \),
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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