Evaluating Composite Functions from Tables of Values

The video tutorial explains how to determine composite function values using a provided table. It introduces the notation for composite functions and demonstrates how to evaluate them by starting with the inner function. The tutorial provides examples of evaluating composite functions such as F of G of -2, G of F of 3, F of F of 0, and G of G of -4, using a step-by-step approach. The video concludes with a summary of the process and encourages viewers to apply the learned techniques.

What is the primary goal when working with composite functions?

• To find the derivative

• To determine the composite function values

• To integrate the function

• To solve for x

How can F of G of -2 be written using a different notation?

• G(F(2))

• F(G(2))

• F(G(-2))

• G(F(-2))

When evaluating a composite function, which function should be evaluated first?

• It doesn't matter

• Both functions simultaneously

• The inner function

• The outer function

What is the value of G of -2 according to the table?

• 1

• 3

• 0

• 4

What is the final value of F of G of -2?

• 4

• 1

• 3

• 2

What is the value of F of 3 according to the table?

• 1

• 2

• 4

• 3

What is the final value of G of F of 3?

• 3

• 2

• 1

• 4

What is the value of F of 0 according to the table?

• 4

• 3

• 2

• 1

What is the final value of F of F of 0?

• 4

• 1

• 2

• 3

What is the final value of G of G of -4?

• 0

• 1

• 2

• 3