How to verify the power and root function are inverses of each other

The video tutorial explains the process of composing functions, specifically inserting G of X into F of X. It demonstrates this with examples involving cube roots and simplification. The tutorial emphasizes understanding the difference between F of G of X and G of F of X, and guides through the simplification process, showing how certain operations cancel each other out, ultimately simplifying the expression to X.

What is the initial step when composing the G of X function into F of X?

• Add the functions together

• Multiply the functions

• Insert G of X into F of X

• Subtract G of X from F of X

What happens to the terms when simplifying the expression X - 1 + 1?

• They multiply to give X^2

• They remain unchanged

• They cancel each other out

• They add up to 2X

How does the cube root of X^3 simplify?

• It becomes 3X

• It simplifies to X

• It remains as X^3

• It becomes X^2

What is the result of the cube root and cube operations on a variable?

• They halve the variable

• They cancel each other out

• They double the variable

• They square the variable

What is the final simplified form of the expression after all operations?

• X + 1

• X

• X - 1

• X^3