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1 point Given the following: f(x) = 2² - 8x + 4; g(x) = 4x + 3; and h(x) = x + 2. What is the result of the following: () (2) where x = -2 ; where a where #3 where r #2

1 point Given the following: f(x) = 2² - 8x + 4; g(x) = 4x + 3; and h(x) = x + 2. What is the result of the following: () (2) where x = -2 ; where a where #3 where r #2

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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**Modeling of Functions Quiz** --- **Question 1: (1 point)** Given the following functions: - \( f(x) = x^2 - 8x + 4 \) - \( g(x) = 4x + 3 \) - \( h(x) = x + 2 \) What is the result of the following expression: \( \left( \frac{h}{g} \right) (x) \)? **Options:** - A. \( \frac{x+2}{4x+3} \), where \( x \neq -\frac{3}{4} \) - B. \( \frac{x+2}{4x+3} \), where \( x \neq -2 \) - C. \( \frac{x+2}{4x+3} \), where \( x \neq +3 \) - D. \( \frac{x+2}{4x+3} \), where \( x \neq 2 \) --- **Instructions:** Review the functions provided, calculate \( \left( \frac{h}{g} \right) (x) \), and select the correct answer from the options given. **Note:** Make sure to exclude the values of \( x \) that make the denominator equal to zero from your final answer. ---
Transcribed Image Text:**Modeling of Functions Quiz** --- **Question 1: (1 point)** Given the following functions: - \( f(x) = x^2 - 8x + 4 \) - \( g(x) = 4x + 3 \) - \( h(x) = x + 2 \) What is the result of the following expression: \( \left( \frac{h}{g} \right) (x) \)? **Options:** - A. \( \frac{x+2}{4x+3} \), where \( x \neq -\frac{3}{4} \) - B. \( \frac{x+2}{4x+3} \), where \( x \neq -2 \) - C. \( \frac{x+2}{4x+3} \), where \( x \neq +3 \) - D. \( \frac{x+2}{4x+3} \), where \( x \neq 2 \) --- **Instructions:** Review the functions provided, calculate \( \left( \frac{h}{g} \right) (x) \), and select the correct answer from the options given. **Note:** Make sure to exclude the values of \( x \) that make the denominator equal to zero from your final answer. ---
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