Multiply a cubic and absolute value function to determine the domain

The video tutorial explores complex functions, focusing on multiplying functions and understanding their domains. It emphasizes that the product of functions retains the domain of all real numbers, using cubic and absolute value functions as examples. Simplification is discussed, particularly in relation to absolute values, and the video reassures that complex-looking equations can be simplified to basic concepts.

How does the domain of the absolute value function change with transformations?

What can be concluded about the domain of the product of two functions if both have a domain of all real numbers?