Learn the Composition of Two Functions

The video tutorial introduces the concept of composition in mathematics, explaining how it differs from basic operations like addition and multiplication. It covers different notations for composition, such as 'fog' and 'F of G of X'. Through examples, the tutorial demonstrates how to evaluate composition functions by plugging one function into another. A detailed explanation is provided on how to solve a composition problem using the FOIL method, emphasizing the importance of correctly handling binomial squares.

What is one way to represent the composition of functions?

• F of G of X

• F plus G of X

• F times G of X

• F minus G of X

When evaluating F of X = X + 2 with an input of -3, what is the result?

• 1

• 3

• -5

• -1

In function composition, what do you do with G of X when finding F of G of X?

• Subtract it from F of X

• Multiply it by F of X

• Add it to F of X

• Plug it into F of X

What is the result of expanding the binomial (−X + 1)^2?

• X^2 + 1

• X^2 - 1

• X^2 + 2X + 1

• X^2 - 2X + 1

Which method can be used to expand a binomial squared?

• Box method

• Division method

• Addition method

• Subtraction method