Learn How To Compose Two Quadratic Functions Back and Forth

The video tutorial introduces function operations, focusing on the concept of plugging values into functions. It explains the composition of functions, using F of G of X as an example, and demonstrates how to simplify these compositions. The tutorial also explores the reverse composition, G of F of X, and provides step-by-step guidance on simplifying these expressions. The teacher emphasizes understanding the process of plugging in functions and variables, regardless of their form, to evaluate compositions effectively.

What is the result of substituting 5 into the function F(x) = 2x - 7?

• 0

• 3

• 5

• 10

What does the composition symbol in F(G(x)) represent?

• Addition of two functions

• Multiplication of two functions

• Substitution of one function into another

• Division of two functions

If F(x) = x^2 - 9 and G(x) = x + 3, what is F(G(x))?

• x^2 - 9

• x^2 + 9

• x^2 + 6x

• x^2 - 6x

What is the result of G(F(x)) if F(x) = x^2 - 9 and G(x) = x + 3?

• x^2 - 3

• x^2 + 6

• x^2 - 6

• x^2 + 3

What is the simplified form of (x + 3)^2 - 9?

• x^2 - 6x

• x^2 + 9

• x^2 - 9

• x^2 + 6x