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Sum (f+g)(x), Difference (f-g)(x), Product (fg)(x), and Quotient (f/g)(x) Function and Their Domains
Автор: Wendy
Загружено: 2021-02-17
Просмотров: 10029
Описание:
The linear functions given are f(x)=5x+2 and g(x)=x-1. Find the sum function (f+g)(x), the difference function, (f-g)(x), the product function, (fg)(x), and the quotient function, (f/g)(x). The domains of f(x) and g(x) are found and their intersection is used to find the domain of f+g, f-g, and fg. The domain of f/g is found by taking this intersection and excluding all values of x that make the denominator (g(x)) equal to zero. All the domains are written in interval notation.
Timestamps
0:00 Introduction
0:28 Sum Function (f+g)(x)
1:45 Difference Function (f-g)(x)
3:08 Product Function (fg)(x)
4:30 Quotient Function (f/g)(x)
5:28 Domains
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