Learn how to verify two functions if they are inverses of each other or not

The video tutorial explains how to evaluate function compositions, specifically F of G of X and G of F of X. It demonstrates the process of substituting one function into another and simplifying the result. The tutorial highlights that these compositions are inverses of each other, as both simplify to X. The video provides a step-by-step guide to understanding and verifying the inverse relationship between the two compositions.

What is the first step in evaluating F of G of X?

• Add the two functions together

• Substitute G of X into F of X

• Substitute F of X into G of X

• Multiply the two functions

What is the G of X function in the example provided?

• Cube root of X plus 1

• Cube root of X minus 1

• X cubed plus 1

• X squared minus 1

What operation is performed to simplify the expression when G of X is substituted into F of X?

• Addition

• Multiplication

• Subtraction

• Inverse operations

What is the result of evaluating G of F of X in the example?

• X

• X plus 1

• X cubed

• X squared

Why can we verify that F and G are inverses of each other?

• Because they are both polynomial functions

• Because they are both cube root functions

• Because both compositions simplify to X

• Because F of G of X equals G of F of X