Given the following functions, evaluate each of the following: f(x) = x² + 3x – 18 g(x) = x – 3 (f + g)( – 4) = -21 (f – 9)( – 4) =-7 (f · g)( – 4) =| 226 G)(- 4) = | 2

Algebra and Trigonometry (6th Edition)
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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 following functions, evaluate each of the following:

\( f(x) = x^2 + 3x - 18 \)

\( g(x) = x - 3 \)

1. \( (f + g)(-4) = -21 \) ✔️
2. \( (f - g)(-4) = -7 \) ✔️
3. \( (f \cdot g)(-4) = 226 \) ❌
4. \( \left(\frac{f}{g}\right)(-4) = 2 \) ✔️

Each operation involves substituting \( x = -4 \) into the given functions \( f(x) \) and \( g(x) \), performing the indicated operation (addition, subtraction, multiplication, division), and then evaluating the result.

- The checkmarks indicate correct evaluations.
- The red "x" indicates an error in the computation.

The goal is to correctly apply algebraic operations to evaluate the composite functions at \( x = -4 \).
Transcribed Image Text:Given the following functions, evaluate each of the following: \( f(x) = x^2 + 3x - 18 \) \( g(x) = x - 3 \) 1. \( (f + g)(-4) = -21 \) ✔️ 2. \( (f - g)(-4) = -7 \) ✔️ 3. \( (f \cdot g)(-4) = 226 \) ❌ 4. \( \left(\frac{f}{g}\right)(-4) = 2 \) ✔️ Each operation involves substituting \( x = -4 \) into the given functions \( f(x) \) and \( g(x) \), performing the indicated operation (addition, subtraction, multiplication, division), and then evaluating the result. - The checkmarks indicate correct evaluations. - The red "x" indicates an error in the computation. The goal is to correctly apply algebraic operations to evaluate the composite functions at \( x = -4 \).
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