Exploring Composite Functions in ACT Practice

The video tutorial explains composite functions, starting with an introduction to the concept and notation. It provides an example using functions H(x) and K(x) to demonstrate how to evaluate composite functions. The tutorial then applies this understanding to solve a specific problem involving functions f(x) and g(x), calculating f(g(1/2)) step-by-step, resulting in a final answer of 3/2.

What is the main focus of the forty-second problem in the first ACT practice test?

• Composite functions

• Quadratic functions

• Trigonometric functions

• Linear functions

In the simple example, what is H of X equal to?

• x - 1

• 1/x

• 2x

• x^2

What is the value of H(3) in the example provided?

• 3

• 12

• 9

• 6

What is the next step after finding H(3) in the example?

• Find K(6)

• Find H(6)

• Find H(K(3))

• Find K(3)

What is the simplified form of the square root of 18?

• 2√3

• 9

• 3√2

• 6

What is the first step in solving f(G(1/2))?

• Find G(1/2)

• Find f(1/2)

• Find f(G(x))

• Find G(f(1/2))

What is the value of G(1/2)?

• 1/4

• 1/2

• 2

• 1

After finding G(1/2), what is the next step?

• Find f(G(1/2))

• Find G(2)

• Find f(2)

• Find f(1/2)

What is the value of f(2)?

• 1

• 2

• 3/2

• 3

What is the final answer for f(G(1/2))?

• 3

• 3/2

• 2

• 1