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Evaluate the following quantity for f(x) = x² + 2 and g(x) = x-41 11) f(3) + g(-4)

Evaluate the following quantity for f(x) = x² + 2 and g(x) = x-41 11) f(3) + g(-4)

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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**Evaluate the following quantity for \( f(x) = x^2 + 2 \) and \( g(x) = x - 4 \).** 11) \( f(3) + g(-4) \) --- To solve this, follow these steps: 1. Compute \( f(3) \): - Substitute \( x = 3 \) into \( f(x) = x^2 + 2 \). - \( f(3) = 3^2 + 2 = 9 + 2 = 11 \). 2. Compute \( g(-4) \): - Substitute \( x = -4 \) into \( g(x) = x - 4 \). - \( g(-4) = -4 - 4 = -8 \). 3. Add the results: - \( f(3) + g(-4) = 11 + (-8) = 3 \). Therefore, the value of \( f(3) + g(-4) \) is 3.
Transcribed Image Text:**Evaluate the following quantity for \( f(x) = x^2 + 2 \) and \( g(x) = x - 4 \).** 11) \( f(3) + g(-4) \) --- To solve this, follow these steps: 1. Compute \( f(3) \): - Substitute \( x = 3 \) into \( f(x) = x^2 + 2 \). - \( f(3) = 3^2 + 2 = 9 + 2 = 11 \). 2. Compute \( g(-4) \): - Substitute \( x = -4 \) into \( g(x) = x - 4 \). - \( g(-4) = -4 - 4 = -8 \). 3. Add the results: - \( f(3) + g(-4) = 11 + (-8) = 3 \). Therefore, the value of \( f(3) + g(-4) \) is 3.
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