Finding the Composition of Two Functions with Rational Exponents

The video tutorial explains the concept of function composition, demonstrating how to calculate F(G(x)) and G(F(x)). It shows that both compositions result in X to the 4th power. The tutorial also discusses the domain of these functions, noting that there are no restrictions such as division by zero or roots, making the domain all real numbers.

Explain the process of plugging G of X into F of X in the context of function composition.

What happens when you raise a power to another power in the context of function composition?

How does the order of composition affect the outcome when composing F of X and G of X?

What is the result of composing the functions F of X and G of X, where F of X is X to the 2/3 and G of X is X to the 6th?

Discuss the domain of the composed functions F of G and G of F. Are there any restrictions?