How to add a cubic function and cube root function with domain

The video tutorial focuses on understanding the addition of functions and identifying their domain. It explains that when adding functions like F(x) = cube root of 2x + 1 and G(x) = x^3 - 5, they cannot be combined as like terms. The tutorial emphasizes that the domain of these functions is all real numbers, as they do not involve taking the square root of a negative number or dividing by zero. The video aims to clarify the concept of domain in the context of function addition.

Can you combine the cube root of a number and a cubic function? Why or why not?

What is the domain of the cube root function?

What are the only restrictions to consider when determining the domain of a function?

What happens when you add the cube root of a function and a cubic function?

Explain why the domain of the combined functions is all real numbers.