Use the table below to find: (fog)(13) = = (fof)(12) = X f(x) g(x) (gof)(-1) = (g° g) (0) -1 0 6 10 11 12 13 15 0 10 -1 11 13 6 15 12 12 6 0 15 10 11 13 Calculator B Check Answer
Use the table below to find: (fog)(13) = = (fof)(12) = X f(x) g(x) (gof)(-1) = (g° g) (0) -1 0 6 10 11 12 13 15 0 10 -1 11 13 6 15 12 12 6 0 15 10 11 13 Calculator B Check Answer
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,...
Related questions
Question
![**Use the table below to find:**
1. \( (f \circ g)(13) = \) [ ]
2. \( (g \circ f)(-1) = \) [ ]
3. \( (f \circ f)(12) = \) [ ]
4. \( (g \circ g)(0) = \) [ ]
**Table:**
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|}
\hline
x & -1 & 0 & 6 & 10 & 11 & 12 & 13 & 15 \\
\hline
f(x) & 0 & 10 & -1 & 11 & 13 & 6 & 15 & 12 \\
\hline
g(x) & 12 & 6 & -1 & 0 & 15 & 10 & 11 & 13 \\
\hline
\end{array}
\]
**Description:**
The table provides values for two functions, \( f(x) \) and \( g(x) \), at specific \( x \) values. The task is to evaluate composite functions using these values.
- **Function Composition Explanation:**
- \( (f \circ g)(x) \) means you first apply \( g \) to \( x \), then apply \( f \) to the result.
- \( (g \circ f)(x) \) means you first apply \( f \) to \( x \), then apply \( g \) to the result.
**Action:**
Use the values from the table to fill in the blanks for the composite functions. For example, to find \( (f \circ g)(13) \), look up \( g(13) \) first, then use that result to find \( f(\text{result}) \).
- **Tools Provided:**
- Calculator option
- Button to check answers
*Navigation:*
- Use the “Previous” button to go back to the previous page.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73703494-0047-446a-8ecd-c730d28d528c%2F69924c30-cc76-4cbf-9f06-d5f0fd6d04be%2F7mnu3b6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Use the table below to find:**
1. \( (f \circ g)(13) = \) [ ]
2. \( (g \circ f)(-1) = \) [ ]
3. \( (f \circ f)(12) = \) [ ]
4. \( (g \circ g)(0) = \) [ ]
**Table:**
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|}
\hline
x & -1 & 0 & 6 & 10 & 11 & 12 & 13 & 15 \\
\hline
f(x) & 0 & 10 & -1 & 11 & 13 & 6 & 15 & 12 \\
\hline
g(x) & 12 & 6 & -1 & 0 & 15 & 10 & 11 & 13 \\
\hline
\end{array}
\]
**Description:**
The table provides values for two functions, \( f(x) \) and \( g(x) \), at specific \( x \) values. The task is to evaluate composite functions using these values.
- **Function Composition Explanation:**
- \( (f \circ g)(x) \) means you first apply \( g \) to \( x \), then apply \( f \) to the result.
- \( (g \circ f)(x) \) means you first apply \( f \) to \( x \), then apply \( g \) to the result.
**Action:**
Use the values from the table to fill in the blanks for the composite functions. For example, to find \( (f \circ g)(13) \), look up \( g(13) \) first, then use that result to find \( f(\text{result}) \).
- **Tools Provided:**
- Calculator option
- Button to check answers
*Navigation:*
- Use the “Previous” button to go back to the previous page.
Expert Solution
Step 1
Given query is to find indicated composite function.
Step by step
Solved in 2 steps with 1 images
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