How To Apply the Composition of a Quadratic and Linear Function

The video tutorial covers the concept of function composition, starting with basic examples of plugging values into functions. It explains how to handle different variables and introduces nested functions like F of G of X. The tutorial also discusses the notation used in function composition and demonstrates how to simplify expressions. The goal is to help students understand how to manipulate and evaluate composite functions effectively.

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

• 9

• 7

• 5

• 0

When composing two functions, F and G, what is the result of F(G(x)) if F(x) = x + 7 and G(x) = x^2?

• x^2 + 7

• x^2 - 7

• x + 7

• x^2

In the context of function composition, what does the notation G(F(x)) imply?

• Multiplying F and G

• Adding F and G

• Substituting F into G

• Substituting G into F

If F(x) = 2x^2 + x - 3, what is F(x) - 1?

• 2x^2 + x - 4

• 2x^2 + x - 2

• 2x^2 + x - 3

• 2x^2 + x - 1

What is the simplified form of the expression 2x^2 + x - 3 - 1?

• 2x^2 + x - 4

• 2x^2 + x - 2

• 2x^2 + x - 3

• 2x^2 + x - 1