Question

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

Answer 1

Answer:

DOMAIN: The set of all real numbers except 0

$\large\boxed{x\in\mathbb{R}-\{0\}}$

Step-by-step explanation:

We have a faction.

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

$y=\dfrac{5x}{|x-1|}-1\Rightarrow |x-1|\neq0\iff x-1\neq0\iff x\neq1$