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in the Functions (F-g) (4) F(6)=36-2 and 960) == ²+1

in the Functions (F-g) (4) F(6)=36-2 and 960) == ²+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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**Given the Functions** - \( f(x) = 3x - 2 \) - \( g(x) = x^2 + 1 \) **Expression to Evaluate** - \((f - g)(4)\) **Explanation** The problem provides two functions, \( f(x) \) and \( g(x) \), and asks for the evaluation of \((f - g)(4)\), which means finding the value of the difference \( f(x) - g(x) \) at \( x = 4 \). To solve: 1. Substitute \( x = 4 \) into both functions: - \( f(4) = 3(4) - 2 = 12 - 2 = 10 \) - \( g(4) = 4^2 + 1 = 16 + 1 = 17 \) 2. Calculate \((f - g)(4)\): - \((f - g)(4) = f(4) - g(4) = 10 - 17 = -7\) Thus, \((f - g)(4) = -7\).
Transcribed Image Text:**Given the Functions** - \( f(x) = 3x - 2 \) - \( g(x) = x^2 + 1 \) **Expression to Evaluate** - \((f - g)(4)\) **Explanation** The problem provides two functions, \( f(x) \) and \( g(x) \), and asks for the evaluation of \((f - g)(4)\), which means finding the value of the difference \( f(x) - g(x) \) at \( x = 4 \). To solve: 1. Substitute \( x = 4 \) into both functions: - \( f(4) = 3(4) - 2 = 12 - 2 = 10 \) - \( g(4) = 4^2 + 1 = 16 + 1 = 17 \) 2. Calculate \((f - g)(4)\): - \((f - g)(4) = f(4) - g(4) = 10 - 17 = -7\) Thus, \((f - g)(4) = -7\).
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