How to determine the domain of a linear function

The video tutorial explains how to find the domain of a linear function, specifically f(x) = 2x - 3. It begins by defining the domain as the set of all x-values that make the function true. The instructor then graphs the function, highlighting its continuous nature with no breaks, meaning every x-value has a corresponding y-value. The video contrasts this with functions that have restrictions, such as f(x) = 1/x and f(x) = √x, where certain x-values are not allowed. The tutorial concludes that the domain of the linear function is all real numbers, from negative infinity to infinity.

Describe the conditions under which the function f of x equals the square root of x is defined.

Summarize the conclusion about the domain of the linear function discussed in the text.