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Find (f - g)(1). our answer (opens in new window) 8 = f = {(1, -2), (0, -1)} and {(5, 0), (1, -3), (2,-4), (-2,4)} (f- g)(1) = |

Find (f - g)(1). our answer (opens in new window) 8 = f = {(1, -2), (0, -1)} and {(5, 0), (1, -3), (2,-4), (-2,4)} (f- g)(1) = |

Algebra and Trigonometry (6th Edition)
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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### 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: \[ (f - g)(1) = 1 \]
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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