How to Compose Two Functions and then Determine the Domain, Rational and Radical

The video tutorial explains function composition, focusing on how to write and understand F of G of X. It defines G of X and demonstrates inputting values into functions, using examples like sqrt(2 - X). The tutorial simplifies expressions and discusses inverse operations. It concludes by determining the domain of a function, emphasizing that the denominator cannot be zero, and explains how to express the domain using intervals and unions.

What is the preferred way to write a function when dealing with an input value?

What is the significance of the expression 'F of G of X' in function composition?

What happens to the square root of something squared in terms of inverse operations?

Explain the process of finding the domain of the function discussed in the text.

How do you express the domain of the function in interval notation?