Verifying two functions to determine if they are inverses of each other

The video tutorial explains the concept of function composition, focusing on composing F of G of X and G of F of X. It demonstrates how to plug one function into another and simplify the result. The tutorial concludes by verifying that the compositions are inverses of each other.

What is the first step in finding the composition of F of G of X?

• Substitute G of X into F of X

• Divide F of X by G of X

• Add the two functions together

• Multiply the two functions

What is the result of simplifying the composition of F of G of X?

• A linear function

• A constant value

• An exponential function

• A quadratic function

In the composition of G of F of X, what operation is performed after substitution?

• Simplification

• Multiplication

• Subtraction

• Addition

What is the final result of the composition of G of F of X?

• An exponential function

• A quadratic function

• The original function X

• A constant value

What conclusion can be drawn if both compositions F of G of X and G of F of X simplify to X?

• The functions are quadratic

• The functions are unrelated

• The functions are inverses

• The functions are identical