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

Tags

CCSS.HSF-BF.A.1C

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

• x - 1

• 1/x

• 2x

• x^2

Tags

CCSS.HSF-BF.A.1C

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

• 3

• 12

• 9

• 6

Tags

CCSS.HSF.IF.A.2

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)

Tags

CCSS.HSF-BF.A.1C

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))

Tags

CCSS.HSF.IF.A.2

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

• 1/4

• 1/2

• 2

• 1

Tags

CCSS.HSF.IF.A.2

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)

Tags

CCSS.HSF-BF.A.1C

What is the value of f(2)?

• 1

• 2

• 3/2

• 3

Tags

CCSS.HSF.IF.A.2

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

• 3

• 3/2

• 2

• 1

Tags

CCSS.HSF-BF.A.1C