evaluate the composition the two functions

The video tutorial explains how to perform function composition by plugging the result of G(8) into the function F(x). It walks through calculating G(8) by substituting 8 into the function, simplifying the expression, and then using this result to solve F(G(8)). The tutorial concludes with the final answer, demonstrating how this process would work in a multiple-choice setting.

What is the main task described in the introduction of the video?

• To integrate F(x)

• To solve for x in G(x)

• To find the derivative of F(x)

• To plug G(8) into F(x)

How do you determine the value of G(8)?

• By replacing x with 4 in G(x)

• By replacing x with 8 in G(x)

• By differentiating G(x)

• By solving G(x) for x = 0

What is the result of G(8) after simplification?

• 16

• 8

• 4

• 2

What is the final result of F(G(8))?

• 12

• 10

• 8

• 6

Which of the following operations is performed last in the video?

• Subtracting 4

• Squaring 2

• Adding 4

• Multiplying by 2