Function Composition and Evaluation

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

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

• Calculate f(2)

• Calculate g(2)

• Calculate f(g(x))

• Calculate g(f(x))

What is the value of g(2)?

• -3

• 12

• 3

• 15

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

• -3

• 14

• 9

• 0

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

• -3

• 9

• 14

• 39

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

• Calculate g(2)

• Calculate g(f(x))

• Calculate f(g(x))

• Calculate f(2)

What is the value of f(2)?

• 9

• 14

• 4

• 5

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

• 15

• 54

• 24

• 39

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

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

• -3

• 14

• 39

• 9