Function Composition and Evaluation

The video tutorial explains how to find composite function values, specifically F(G(2)) and G(F(2)), using given functions F(x) = x^2 + 5 and G(x) = 6x - 15. It demonstrates the step-by-step process of calculating these values by substituting and following the order of operations. The tutorial emphasizes the importance of the order in which functions are composed, as it affects the final result.

What are the given functions f(x) and g(x) in the video?

• f(x) = 2x + 5 and g(x) = 6x - 10

• f(x) = x^2 + 5 and g(x) = 6x - 15

• f(x) = x^2 + 10 and g(x) = 6x - 5

• f(x) = x^2 - 5 and g(x) = 6x + 15

Tags

CCSS.HSF-BF.A.1C

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

• Calculate f(2)

• Calculate g(2)

• Calculate f(g(x))

• Calculate g(f(x))

Tags

CCSS.HSF.IF.A.2

What is the value of g(2)?

• -3

• 12

• 3

• 15

Tags

CCSS.HSF.IF.A.2

What is the result of substituting g(2) into f(x)?

• -3

• 14

• 9

• 0

Tags

CCSS.HSF-BF.A.1C

What is the composite function value f(g(2))?

• -3

• 9

• 14

• 39

Tags

CCSS.HSF-BF.A.1C

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

• Calculate g(2)

• Calculate g(f(x))

• Calculate f(g(x))

• Calculate f(2)

Tags

CCSS.HSF.IF.A.2

What is the value of f(2)?

• 9

• 14

• 4

• 5

Tags

CCSS.HSF.IF.A.2

What is the result of substituting f(2) into g(x)?

• 15

• 54

• 24

• 39

Tags

CCSS.HSF-BF.A.1C

Why is it important to pay attention to the order of composition?

• Because the results of f(g(x)) and g(f(x)) can be different

• Because it affects the speed of calculation

• Because it changes the functions used

• Because it simplifies the process

Tags

CCSS.HSF-BF.A.1C

What is the composite function value g(f(2))?

• -3

• 14

• 39

• 9

Tags

CCSS.HSF-BF.A.1C