Evaluate the Value of Composition of Two Functions

The video tutorial explains how to solve a composite function problem involving two functions, G(x) and H(x). The instructor first introduces the functions and then demonstrates how to calculate H(3) by substituting the value into the function H(x). After finding H(3), the instructor uses this result to solve for G(H(3)) by substituting the value of H(3) into the function G(x). The tutorial emphasizes the step-by-step process of solving composite functions and highlights the importance of substitution in finding the correct solution.

What is the expression for G(x) as introduced in the video?

• G(x) = -2x + 1

• G(x) = 2x + 1

• G(x) = -x^2 + 6x + 8

• G(x) = x^2 + 6x + 8

How do you calculate H(3) using the function H(x) = x^2 + 6x + 8?

• Substitute x = 3 into H(x) and solve

• Divide each term in H(x) by 3

• Multiply 3 by the coefficients of H(x)

• Add 3 to each term in H(x)

What is the value of H(3) when calculated?

• 27

• 35

• 30

• 45

What is the next step after finding H(3) in the process of solving G(H(3))?

• Divide the result by G(x)

• Substitute the result into G(x)

• Multiply the result by G(x)

• Add the result to G(x)

What is the final result of G(H(3))?

• -70

• -68

• -69

• -71