Question

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

Answer 1

DOMAIN: The set of all real numbers except 0

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

Explanation:

We have a faction.

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

`y=(5x)/(|x-1|)-1\Rightarrow |x-1|\\eq0\iff x-1\\eq0\iff x\\eq1`