Learn how to identify the domain by combining 2 functions, sine and radical function

The video tutorial covers the operations of adding, subtracting, and multiplying functions, focusing on the sine and square root functions. It explains that these functions cannot be combined due to their different types. The tutorial also discusses the domain of these functions, highlighting that the domain of sine is all real numbers, while the square root function is limited to non-negative numbers. The importance of considering the domain when performing operations on functions is emphasized, with examples provided to illustrate these concepts.

What are the operations that can be performed on the functions F and g of X?

Explain why the functions X^2 and sin(X) cannot be combined.

What is the domain of the sine function based on the graph discussed?

Describe the domain of the square root function and how it differs from the sine function.

What happens when you try to plug in negative values for the square root function?