Use the table of values to evaluate the expressions below.\[\begin{array}{|c|c|c|}\hlinex & f(x) & g(x) \\\hline0 & 7 & 0 \\1 & 0 & 5 \\2 & 4 & 1 \\3 & 1 & 6 \\4 & 8 & 4 \\5 & 5 & 8 \\6 & 6 & 7 \\7 & 2 & 2 \\8 & 9 & 9 \\9 & 3 & 3 \\\hline\end{array}\]**Expressions to Evaluate:**1. $ f(g(2)) = $ 2. $ g(f(1)) = $ 3. $ f(f(7)) = $ 4. $ g(g(8)) = $ **Instructions:**- Use the given table of $ x $, $ f(x) $, and $ g(x) $ to find the values of each expression.- Substitute the inner function result into the outer function to solve each expression.

The function values and are given in the table.The aim is to find the following values,

Answered: Use the table of values to evaluate the…

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

Use the table of values to evaluate the expressions below.

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

**Expressions to Evaluate:**

1. $ f(g(2)) = $
2. $ g(f(1)) = $
3. $ f(f(7)) = $
4. $ g(g(8)) = $

**Instructions:**

- Use the given table of $ x $, $ f(x) $, and $ g(x) $ to find the values of each expression.
- Substitute the inner function result into the outer function to solve each expression.

Expert Solution

Step 1: Given the information

The function values $f open parentheses x close parentheses$ and $g open parentheses x close parentheses$ are given in the table.

The aim is to find the following values,

$f open parentheses g open parentheses 2 close parentheses close parentheses g open parentheses f open parentheses 1 close parentheses close parentheses f open parentheses f open parentheses 7 close parentheses close parentheses g open parentheses g open parentheses 8 close parentheses close parentheses.$