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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Question
![**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, \( g(g(9)) = 3 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70224edc-49fe-4fc4-bb2a-6cba35fc14ef%2Fd6de10f3-9ba0-4cbd-8462-36257f21dcfd%2F426u0pr_processed.png&w=3840&q=75)
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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