Learn to evaluate the compostion of two functions one quadratic

The video tutorial explains how to evaluate composite functions using given functions F(x) and G(x). It starts by introducing the functions and then demonstrates how to calculate F(3Y) by substituting 3Y into F(x). The tutorial proceeds to evaluate G(F(3Y)) by substituting the result of F(3Y) into G(x), showing step-by-step calculations and simplifications to reach the final answer.

What is the expression for F(3Y) when F(x) = x^2 + x - 12?

• 3Y^2 + 6Y - 12

• 9Y^2 + 6Y - 12

• 3Y^2 + 3Y - 12

• 9Y^2 + 3Y - 12

How do you find G(F(3Y)) using G(x) = -2x + 1?

• Substitute F(3Y) into G(x)

• Multiply F(3Y) by 2

• Add F(3Y) to G(x)

• Divide F(3Y) by G(x)

What is the first step in simplifying G(F(3Y))?

• Divide each term of F(3Y) by 2

• Add 1 to each term of F(3Y)

• Multiply each term of F(3Y) by -2

• Subtract 1 from each term of F(3Y)

What is the final expression for G(F(3Y))?

• -18Y^2 - 6Y + 25

• -18Y^2 + 6Y + 25

• -18Y^2 - 6Y - 25

• -18Y^2 + 6Y - 25

Which operation is used to combine the terms 24 and 1 in the final step?

• Division

• Addition

• Multiplication

• Subtraction