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
![### Problem Description
You are given two functions defined as sets of ordered pairs:
- \( f = \{(1, -2), (0, -1)\} \)
- \( g = \{(5, 0), (1, -3), (2, -4), (-2, 4)\} \)
The task is to find \((f - g)(1)\).
### Solution Steps
1. **Identify the Values:**
- From function \( f \), find the value corresponding to the input \(1\):
- \( f(1) = -2 \)
- From function \( g \), find the value corresponding to the input \(1\):
- \( g(1) = -3 \)
2. **Compute \((f - g)(1)\):**
- \((f - g)(1) = f(1) - g(1) = -2 - (-3)\)
3. **Simplify the Expression:**
- \((f - g)(1) = -2 + 3 = 1\)
### Conclusion
Thus, the result of \((f - g)(1)\) is:
\[ (f - g)(1) = 1 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60bf36b7-aa95-436f-b788-de87d7d79004%2F281145f7-6684-4bc2-a4cb-73c12c2d3058%2Fbkkm1wc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
You are given two functions defined as sets of ordered pairs:
- \( f = \{(1, -2), (0, -1)\} \)
- \( g = \{(5, 0), (1, -3), (2, -4), (-2, 4)\} \)
The task is to find \((f - g)(1)\).
### Solution Steps
1. **Identify the Values:**
- From function \( f \), find the value corresponding to the input \(1\):
- \( f(1) = -2 \)
- From function \( g \), find the value corresponding to the input \(1\):
- \( g(1) = -3 \)
2. **Compute \((f - g)(1)\):**
- \((f - g)(1) = f(1) - g(1) = -2 - (-3)\)
3. **Simplify the Expression:**
- \((f - g)(1) = -2 + 3 = 1\)
### Conclusion
Thus, the result of \((f - g)(1)\) is:
\[ (f - g)(1) = 1 \]
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