Question

What is the domain of f(x)=|x-2|?

Answer 1

`\large\boxed{D:x\in\mathbb{R}\to x\in(-\infty,\ \infty)}`

Explanation:

The absolute value exist for any real number. Therefore x can be any real number.

Domain is the set of all real numbers.

Answer 2

∞, or (-∞, ∞)

Explanation:

Basically we're asking when x is undefined. We can tell this a variety of different ways, but the easiest is knowing the rule that a normal function (one that isn't square rooted, taken the log of, or has an x value in a denominator) such as this one will always have a domain that goes to infinity.