Use the table of values to evaluate the expressions below. f(x) g(x) 4 9 1 9. 5 6 1 2 7 7 2 5 6 3 7 4 8 5 3 3. 4.

Algebra and Trigonometry (6th Edition)
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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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**Instructions:**
Use the table of values to evaluate the expressions below.

**Table of Values:**

\[
\begin{array}{|c|c|c|}
\hline
x & f(x) & g(x) \\
\hline
0 & 4 & 9 \\
1 & 9 & 5 \\
2 & 6 & 1 \\
3 & 2 & 7 \\
4 & 7 & 2 \\
5 & 1 & 0 \\
6 & 3 & 6 \\
7 & 0 & 4 \\
8 & 5 & 3 \\
9 & 8 & 8 \\
\hline
\end{array}
\]

**Expressions to Evaluate:**

1. \( f(g(7)) = \) 

   Look up \( g(7) \) using the table:
   
   - \( g(7) = 4 \)
   
   Now, look up \( f(4) \):
   
   - \( f(4) = 7 \)
   
   So, \( f(g(7)) = 7 \)

2. \( g(f(3)) = \) 

   Look up \( f(3) \) using the table:
   
   - \( f(3) = 2 \)
   
   Now, look up \( g(2) \):
   
   - \( g(2) = 1 \)
   
   So, \( g(f(3)) = 1 \)

3. \( f(f(5)) = \)

   Look up \( f(5) \) using the table:
   
   - \( f(5) = 1 \)
   
   Now, look up \( f(1) \):
   
   - \( f(1) = 9 \)
   
   So, \( f(f(5)) = 9 \)

4. \( g(g(9)) = \)

   Look up \( g(9) \) using the table:
   
   - \( g(9) = 8 \)
   
   Now, look up \( g(8) \):
   
   - \( g(8) = 3 \)
   
   So, \( g(g(9)) = 3 \)
Transcribed Image Text:**Instructions:** Use the table of values to evaluate the expressions below. **Table of Values:** \[ \begin{array}{|c|c|c|} \hline x & f(x) & g(x) \\ \hline 0 & 4 & 9 \\ 1 & 9 & 5 \\ 2 & 6 & 1 \\ 3 & 2 & 7 \\ 4 & 7 & 2 \\ 5 & 1 & 0 \\ 6 & 3 & 6 \\ 7 & 0 & 4 \\ 8 & 5 & 3 \\ 9 & 8 & 8 \\ \hline \end{array} \] **Expressions to Evaluate:** 1. \( f(g(7)) = \) Look up \( g(7) \) using the table: - \( g(7) = 4 \) Now, look up \( f(4) \): - \( f(4) = 7 \) So, \( f(g(7)) = 7 \) 2. \( g(f(3)) = \) Look up \( f(3) \) using the table: - \( f(3) = 2 \) Now, look up \( g(2) \): - \( g(2) = 1 \) So, \( g(f(3)) = 1 \) 3. \( f(f(5)) = \) Look up \( f(5) \) using the table: - \( f(5) = 1 \) Now, look up \( f(1) \): - \( f(1) = 9 \) So, \( f(f(5)) = 9 \) 4. \( g(g(9)) = \) Look up \( g(9) \) using the table: - \( g(9) = 8 \) Now, look up \( g(8) \): - \( g(8) = 3 \) So, \( g(g(9)) = 3 \)
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