Function Evaluation and Composition

The video tutorial explains how to determine the values of composite functions F(G(0)) and G(F(0)) using given functions F(x) = 12 + 3x - x^2 and G(x) = -3x + 15. It provides a step-by-step approach, starting with the innermost function and substituting values to find the final results: F(G(0)) = -168 and G(F(0)) = -21.

What is the expression for f(x) given in the video?

• f(x) = 3x + 12 - x^2

• f(x) = 12 - 3x + x^2

• f(x) = 12 + 3x - x^2

• f(x) = 12x - 3 + x^2

What is the expression for g(x) given in the video?

• g(x) = -3x + 15

• g(x) = 15 - 3x

• g(x) = 3x + 15

• g(x) = 15 + 3x

What is the value of g(0) as calculated in the video?

• -3

• 0

• 3

• 15

What is the final result of f(g(0))?

• 0

• -168

• 57

• 168

Which function is evaluated first in the calculation of f(g(0))?

• Neither

• Both simultaneously

• g(x)

• f(x)

What is the value of f(0) as calculated in the video?

• 12

• 0

• -12

• 3

What is the final result of g(f(0))?

• 15

• 21

• 0

• -21

Which function is evaluated first in the calculation of g(f(0))?

• Neither

• f(x)

• g(x)

• Both simultaneously