Evaluate each expression using the values given in the table. - 3 -2 - 1 2 3 f(x) g(x) - 4 - 3 - 2 - 1 3 4 6 2 - 1 6 a. (fo g)(1) d.(g o f)(0) b. (fo g)(- 1) e. (g o g)(- 2) c. (go f)(- 1) f. (f o f)( – 1) ..... a. (fo g)(1) =O
Evaluate each expression using the values given in the table. - 3 -2 - 1 2 3 f(x) g(x) - 4 - 3 - 2 - 1 3 4 6 2 - 1 6 a. (fo g)(1) d.(g o f)(0) b. (fo g)(- 1) e. (g o g)(- 2) c. (go f)(- 1) f. (f o f)( – 1) ..... a. (fo g)(1) =O
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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![**Evaluate each expression using the values given in the table.**
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
|----|----|----|----|----|----|---|---|
| f(x)| -4 | -3 | -2 | -1 | 2 | 3 | 4 |
| g(x)| 6 | 2 | 0 | -1 | 0 | 2 | 6 |
**Problems to Solve:**
a. \((f \circ g)(1)\)
b. \((f \circ g)(-1)\)
c. \((g \circ f)(-1)\)
d. \((g \circ f)(0)\)
e. \((g \circ g)(-2)\)
f. \((f \circ f)(-1)\)
**Instructions:**
- Use the values in the table to evaluate each composition of functions.
- For example, to solve \((f \circ g)(x)\), first find \(g(x)\) using the values in the table, and then use the resulting value to find \(f(g(x))\).
**Example Solution:**
- For a. \((f \circ g)(1)\),
1. Find \(g(1)\): From the table, \(g(1) = 0\).
2. Then find \(f(g(1)) = f(0)\): From the table, \(f(0) = -1\).
- \((f \circ g)(1) = -1\)
[Insert a text box, if necessary for student inputs.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f41f658-596c-422f-b8ac-5f46df32b99a%2F24775e5d-1081-43d9-b70b-0d7ddb9e2ab5%2Fl6t22x_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate each expression using the values given in the table.**
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
|----|----|----|----|----|----|---|---|
| f(x)| -4 | -3 | -2 | -1 | 2 | 3 | 4 |
| g(x)| 6 | 2 | 0 | -1 | 0 | 2 | 6 |
**Problems to Solve:**
a. \((f \circ g)(1)\)
b. \((f \circ g)(-1)\)
c. \((g \circ f)(-1)\)
d. \((g \circ f)(0)\)
e. \((g \circ g)(-2)\)
f. \((f \circ f)(-1)\)
**Instructions:**
- Use the values in the table to evaluate each composition of functions.
- For example, to solve \((f \circ g)(x)\), first find \(g(x)\) using the values in the table, and then use the resulting value to find \(f(g(x))\).
**Example Solution:**
- For a. \((f \circ g)(1)\),
1. Find \(g(1)\): From the table, \(g(1) = 0\).
2. Then find \(f(g(1)) = f(0)\): From the table, \(f(0) = -1\).
- \((f \circ g)(1) = -1\)
[Insert a text box, if necessary for student inputs.]
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