Evaluating Composite Functions

This video tutorial explains how to evaluate composite functions using tables. It begins with an introduction to composite functions and demonstrates the process through several examples, including f(g(2)), g(f(1)), and more complex expressions like f(g(4)) + g(f(2)). The video provides step-by-step guidance and practice problems to reinforce understanding, concluding with a final example to solidify the learning objectives.

What is the first step in evaluating the expression f(g(2))?

• Evaluate f(g)

• Evaluate g(f)

• Evaluate g(2)

• Evaluate f(2)

Tags

CCSS.HSF.IF.A.2

If g(2) equals 3, what is the next step to find f(g(2))?

• Find g(2)

• Find f(3)

• Find g(3)

• Find f(2)

Tags

CCSS.HSF-BF.A.1C

In the example g(f(1)), what is the value of f(1)?

• 9

• 7

• 5

• 3

Tags

CCSS.HSF-BF.A.1C

What is the final result of g(f(1)) if f(1) is 5?

• 5

• 7

• 3

• -7

Tags

CCSS.HSF.IF.A.2

What is the value of f(f(2)) if f(2) is 4?

• 7

• 4

• 5

• 9

Tags

CCSS.HSF-BF.A.1C

What is the result of g(g(1)) if g(1) is 3?

• 1

• 3

• 5

• 7

Tags

CCSS.HSF-BF.A.1C

In the expression f(g(4)) + g(f(2)), what is g(4)?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF-BF.A.1C

What is the sum of f(g(4)) and g(f(2)) if f(1) is 5?

• 5

• 4

• 6

• 7

Tags

CCSS.HSF.IF.A.2

In the expression f(f(5)) - g(g(3)), what is f(5)?

• 5

• 0

• 10

• 15

Tags

CCSS.HSF-BF.A.1C

What is the final result of f(f(5)) - g(g(3)) if g(5) is -7?

• 0

• 7

• 17

• 10

Tags

CCSS.HSF-BF.A.1C