# How do you find the domain of f(x)=|3x-2|?

Jan 18, 2017

The domain is all real numbers, or $\mathbb{R}$.

#### Explanation:

The domain of a function, is the set containing all possible values the independent variable is "allowed" to take, in order for the function to be well-defined. There is no possible way $\left\mid 3 x - 2 \right\mid$ can be undefined for a real $x$, so there are no restrictions on the domain of this real function.

Therefore, the domain is all real numbers.