The Composition of Two Functions and then Evaluate

The video tutorial explains how to combine two functions by multiplying them and evaluating the result. It presents two methods: evaluating each function first and then multiplying, or multiplying the functions first and then evaluating. The tutorial walks through the calculations for F(6) and G(6), and demonstrates the multiplication of F(x) and G(x). It concludes by verifying the results and emphasizing that both methods yield the same outcome.

What are the two methods mentioned for combining and evaluating functions?

• Multiplying first, then evaluating

• Evaluating first, then multiplying

• Subtracting first, then multiplying

• Adding first, then evaluating

What is the result of evaluating F(6) based on the given function?

• 36

• 38

• 39

• 37

What is the expression for the product of the functions F(x) and G(x)?

• x^3 - 4x^2 + x - 4

• x^2 - 4

• x^2 + 1

• x^3 + 4x^2 - x + 4

What is the final result when multiplying F(6) and G(6)?

• 78

• 76

• 74

• 72

What is emphasized about the order of operations in solving the problem?

• Neither method is correct

• Always multiply first

• Always evaluate first

• Flexibility in choosing the order