Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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## Algebraic Functions: Division, Addition, and Subtraction

### Problem 17: Division of Functions
Divide the functions: \( \frac{f(x)}{g(x)} \) where \( f(x) = 5x - 4 \) and \( g(x) = x + 4 \).

### Problem 18: Addition of Functions
Add the functions: \( f(x) + g(x) \) where \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \).

\[
h(x) = f(x) + g(x) = 
\]

### Problem 19: Subtraction of Functions
Subtract the functions: \( f(x) - g(x) \) where \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \).

\[
h(x) = f(x) - g(x) = 
\]

These exercises involve operations with algebraic expressions, specifically involving the division, addition, and subtraction of polynomial functions. Each requires careful application of algebraic principles to combine or separate the given functions accurately.
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Transcribed Image Text:## Algebraic Functions: Division, Addition, and Subtraction ### Problem 17: Division of Functions Divide the functions: \( \frac{f(x)}{g(x)} \) where \( f(x) = 5x - 4 \) and \( g(x) = x + 4 \). ### Problem 18: Addition of Functions Add the functions: \( f(x) + g(x) \) where \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \). \[ h(x) = f(x) + g(x) = \] ### Problem 19: Subtraction of Functions Subtract the functions: \( f(x) - g(x) \) where \( f(x) = -3x + 2 \) and \( g(x) = 2x - 4 \). \[ h(x) = f(x) - g(x) = \] These exercises involve operations with algebraic expressions, specifically involving the division, addition, and subtraction of polynomial functions. Each requires careful application of algebraic principles to combine or separate the given functions accurately.
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