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09-10-2019
Mathematics

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What is the domain of the functions below: b y= 5x/|x−1| −1

Respuesta :

09-10-2019

Answer:

DOMAIN: The set of all real numbers except 0

[tex]\large\boxed{x\in\mathbb{R}-\{0\}}[/tex]

Step-by-step explanation:

We have a faction.

We know: the denominator must be different from 0. Therefore

[tex]y=\dfrac{5x}{|x-1|}-1\Rightarrow |x-1|\neq0\iff x-1\neq0\iff x\neq1[/tex]

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