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f(z) = 2² + 3r + 1 and g(a) = 2x- 4x – 1

f(z) = 2² + 3r + 1 and g(a) = 2x- 4x – 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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Subtract the given functions and indicate the domain difference

The image displays mathematical functions which are defined as follows: \( f(x) = x^2 + 3x + 1 \) and \( g(x) = 2x^2 - 4x - 1 \) These are both quadratic functions. 1. **Function \( f(x) \):** - It is a quadratic function with coefficients: \( a = 1 \), \( b = 3 \), and \( c = 1 \). - The equation can be expressed in the standard form \( ax^2 + bx + c \). 2. **Function \( g(x) \):** - This is also a quadratic function but with different coefficients: \( a = 2 \), \( b = -4 \), and \( c = -1 \). - It also follows the standard form of a quadratic equation \( ax^2 + bx + c \). Quadratic functions create parabolas when graphed on a coordinate plane. Analyzing these functions can provide insights into their vertex, axis of symmetry, and roots (or zeroes).
Transcribed Image Text:The image displays mathematical functions which are defined as follows: \( f(x) = x^2 + 3x + 1 \) and \( g(x) = 2x^2 - 4x - 1 \) These are both quadratic functions. 1. **Function \( f(x) \):** - It is a quadratic function with coefficients: \( a = 1 \), \( b = 3 \), and \( c = 1 \). - The equation can be expressed in the standard form \( ax^2 + bx + c \). 2. **Function \( g(x) \):** - This is also a quadratic function but with different coefficients: \( a = 2 \), \( b = -4 \), and \( c = -1 \). - It also follows the standard form of a quadratic equation \( ax^2 + bx + c \). Quadratic functions create parabolas when graphed on a coordinate plane. Analyzing these functions can provide insights into their vertex, axis of symmetry, and roots (or zeroes).
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