Learn How To Compose Two Functions

The video tutorial explains the process of composing functions, specifically F of G of X. It begins with an introduction to the concept of function composition, followed by a detailed explanation of substituting G of X into F of X. The instructor demonstrates how to simplify the resulting expression, multiply binomials to form a trinomial, and apply the distributive property to reach the final simplified form. The tutorial emphasizes understanding each step to conceptualize the process effectively.

What is the primary goal when performing F of G of X?

• To substitute G of X into F of X

• To add the two functions together

• To integrate the functions

• To differentiate the functions

What should you do when you encounter a constant in the original problem during substitution?

• Multiply it by the variable

• Keep it as it is

• Replace it with zero

• Ignore it

Which method can be used to multiply a binomial to get a trinomial?

• Differentiation

• Substitution

• Integration

• FOIL or box method

What is the result of applying the distributive property to the expression 2(X^2 - 2X + 1)?

• X^2 - 2X + 1

• 2X^2 - 4X + 2

• X^2 + 4X + 2

• 2X^2 + 2X + 1

What is the final simplified form of the expression after combining like terms?

• 2X^2 + 3X - 2

• X^2 + 3X + 2

• X^2 - 3X + 2

• 2X^2 - 3X - 2