How To Evaluate the Domain from the Composition of Two Functions

The video tutorial explains how to evaluate functions and compose them, specifically focusing on f of g of x. It uses examples to demonstrate the process of plugging in one function into another and applying algebraic operations like the distributive property. The tutorial also covers graphing the resulting function and discusses the domain, emphasizing that the domain is all real numbers due to the absence of discontinuities.

Explain the significance of the input variable in the context of function composition.

What does the graph of the function 3x - 1 look like, and why?