Question

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

Answer 1

The domain is all real numbers, or `RR`.

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 `abs(3x - 2)` 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.