Pre-Calculus - Evaluating the composition of functions and then determining the domain

The video tutorial explains how to rewrite G of X as F of G of X, emphasizing the concept of function notation. It discusses the idea of inputs in functions, highlighting that G of X can be treated as a whole input. The tutorial further explains how to insert functions as inputs, using the example of sqrt(X - 3). Finally, it covers domain constraints, noting that the domain must be greater than or equal to 3.

What does the notation F of G of X represent?

• A function subtracted from another function

• A function composed with another function

• A function divided by another function

• A function multiplied by another function

When evaluating F of G of X, what is being substituted into F?

• A whole function

• An expression

• A variable

• A number

In the example given, what function is used as the input for F?

• X + 3

• Sqrt, X -, 3

• X squared

• 3X

What is the domain constraint for the composed function discussed?

• X must be greater than or equal to 3

• X must be equal to 3

• X must be greater than 3

• X must be less than 3

Why is it important to consider domain constraints in function composition?

• To make the function linear

• To ensure the function is continuous

• To avoid undefined values

• To simplify the function