Function Composition and Evaluation

The video tutorial introduces three function definitions: F, G, and H. It explains the concept of composing functions, which involves building a function by nesting other functions. The tutorial provides step-by-step evaluations of F(G(2)), F(H(2)), and a triple composition example H(G(F(2))). These examples help illustrate how to evaluate compositions of functions.

What is the value of H(x) when x equals 3?

• 2

• 0

• 3

• 1

Tags

CCSS.HSF-BF.A.1C

What does it mean to compose functions?

• To build a function by nesting other functions

• To multiply two functions

• To subtract one function from another

• To add two functions together

Tags

CCSS.HSF-BF.A.1C

What is the result of F(G(2))?

• 5

• 0

• 8

• 3

Tags

CCSS.HSF.IF.A.2

What is the first step in evaluating F(G(2))?

• Find F(G(3))

• Find H(2)

• Find F(2)

• Find G(2)

Tags

CCSS.HSF-BF.A.1C

What is the value of F(H(2))?

• 2

• 3

• 1

• 0

Tags

CCSS.HSF.IF.A.2

What is the value of H(2)?

• 0

• 1

• 2

• 3

Tags

CCSS.HSF-BF.A.1C

What is the result of G(F(2))?

• 1

• 4

• 3

• 2

Tags

CCSS.HSF.IF.A.2

What is the value of F(2)?

• 2

• 1

• 4

• 3

Tags

CCSS.HSF-BF.A.1C

What is the final result of H(G(F(2)))?

• 0

• 1

• 2

• -1

Tags

CCSS.HSF.IF.A.2

What is the value of G(3)?

• 2

• 4

• 3

• 1

Tags

CCSS.HSF.IF.A.2