How to Find the Composition of Two Functions

The video tutorial explains how to find the composition of functions, specifically F of G of X, G of F of X, and F of F of X. The instructor provides a brief overview of function composition and demonstrates how to solve each type using specific functions: F(X) = X^2 and G(X) = X - 1. The tutorial includes step-by-step examples for each composition, highlighting the process of substituting one function into another and simplifying the result. Key concepts such as exponent rules are also discussed.

What is the correct way to rewrite F of G?

• F of G of X

• G of X

• F of X

• G of F of X

If F(X) = X^2 and G(X) = X - 1, what is F of G of X?

• X - 1

• X^2 - 1

• X^2 + 1

• (X - 1)^2

What is the result of squaring (X - 1)?

• X^2 + 2X + 1

• X^2 + 1

• X^2 - 1

• X^2 - 2X + 1

How do you compute G of F of X when F(X) = X^2?

• X^2 - 1

• X^2 + 1

• X - 1

• X^2

What is the result of F of F of X when F(X) = X^2?

• X^4

• X^2

• X^3

• X