Subtract the given functions and indicate the domain difference The image contains the mathematical expressions for two functions:1. $ f(x) = 7x - 8 $2. $ g(x) = -11x - 3 $These functions are linear equations, where $ f(x) $ and $ g(x) $ represent the dependent variable, and $ x $ is the independent variable.In $ f(x) = 7x - 8 $:- The slope is 7, indicating that for every increase of 1 in $ x $, $ f(x) $ increases by 7.- The y-intercept is -8, meaning the graph crosses the y-axis at (0, -8).In $ g(x) = -11x - 3 $:- The slope is -11, showing that for every increase of 1 in $ x $, $ g(x) $ decreases by 11.- The y-intercept is -3, meaning the graph crosses the y-axis at (0, -3).These equations can be graphed as straight lines on a coordinate plane. The slope determines the angle of the line, and the y-intercept provides the starting point on the y-axis.

f(x)=7x-8 g(x)=-11x-3 f(x)-g(x) = 7x-8-(-11x-3) f(x)-g(x) = 18x-5 Domain of f(x)-g(x) is x∈-∞,∞

Answered: f(1) = 71- 8 and g(x) =-1lr

Math

Algebra

f(1) = 71- 8 and g(x) =-1lr

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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Question

Subtract the given functions and indicate the domain difference

The image contains the mathematical expressions for two functions:

1. $ f(x) = 7x - 8 $
2. $ g(x) = -11x - 3 $

These functions are linear equations, where $ f(x) $ and $ g(x) $ represent the dependent variable, and $ x $ is the independent variable.

In $ f(x) = 7x - 8 $:
- The slope is 7, indicating that for every increase of 1 in $ x $, $ f(x) $ increases by 7.
- The y-intercept is -8, meaning the graph crosses the y-axis at (0, -8).

In $ g(x) = -11x - 3 $:
- The slope is -11, showing that for every increase of 1 in $ x $, $ g(x) $ decreases by 11.
- The y-intercept is -3, meaning the graph crosses the y-axis at (0, -3).

These equations can be graphed as straight lines on a coordinate plane. The slope determines the angle of the line, and the y-intercept provides the starting point on the y-axis.

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