Find the Domain in Interval Notation from Composing a Rational and Radical Function

The video tutorial explains the concept of function composition, using the notation G of F of X. It demonstrates how to plug one function into another, specifically plugging F of X into G of X, where G of X is the square root of X and F of X is 1/X - 3. The tutorial also covers finding the domain of the resulting function, emphasizing that X must be greater than 3 to avoid undefined values.

How do you determine the domain of the function involving a square root and a denominator?

What is the smallest number in the domain of the function, and why is it not included?