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 form of a composed function as discussed in the video?

• F of G of X

• F times G of X

• G of F of X

• F of X plus G of X

What was the specific function G of X mentioned in the video?

• X plus 2

• 2X minus something

• X squared plus 2

• 2 minus X

What transformation is applied to the function in the second section?

• Addition of a constant

• Multiplication by a constant

• Division by X

• Square root of 2 minus X squared plus 5

What is the domain of the function as determined in the video?

• All real numbers

• All real numbers except 7

• All real numbers except negative numbers

• All real numbers except 0

Why is 7 excluded from the domain of the function?

• Because it is an irrational number

• Because it makes the numerator zero

• Because it is a negative number

• Because it makes the denominator zero