How To Evaluate the Composition of Three Functions

The video tutorial explains the process of evaluating the composition of functions F, G, and H. It begins with defining the functions and proceeds to evaluate G of H by substituting H into G. The result is then plugged into F, and the final expression is evaluated for X = -2. The tutorial emphasizes the importance of following the order of operations and concludes with a Q&A session.

What is the first step in solving a function composition problem?

• Ignore the order of operations

• Combine all functions at once

• Start with the innermost function

• Evaluate the outermost function first

When substituting H(X) into G(X), what is the resulting expression?

• X + 4

• X^2 + 3

• X^2 - 1 + 4

• X^2 + 4

What is the expression for G(H(X)) after simplification?

• X^2 + 4

• X^2 + 3

• X + 3

• X^2 - 1

How do you apply the distributive property to F(G(H(X)))?

• Multiply each term by 3

• Multiply each term by 2

• Subtract 1 from each term

• Add 3 to each term

What is the final result when evaluating F(G(H(X))) for X = -2?

• 15

• 9

• 21

• 12