How to verify if two functions are inverses of each other

The video tutorial explains how to perform function composition by substituting G of X into F of X and vice versa. It demonstrates the simplification process, showing how the expressions reduce to X, thereby verifying that the functions are inverses of each other.

What is the first step in composing two functions, F(x) and G(x)?

• Multiply F(x) and G(x)

• Plug G(x) into F(x) as the new input

• Subtract G(x) from F(x)

• Add the outputs of F(x) and G(x)

When simplifying the composed function, what happens to the terms that can be divided out?

• They remain unchanged

• They cancel each other out

• They are multiplied

• They are added together

In the reverse composition, what is plugged into G(x)?

• The output of G(x)

• A constant value

• The input X

• F(x)

What is the result when both compositions simplify to the same expression?

• The functions are inverses

• The functions are quadratic

• The functions are identical

• The functions are unrelated

What does it mean if two functions are inverses of each other?

• They cancel each other out to give X

• They have the same range

• They are both linear functions

• They have the same domain