Master Determine if two function are inverses of each other formally ex 1

The video tutorial explains how to determine if two functions are inverses by using composition. It demonstrates that if the composition of two functions results in the identity function, they are inverses. The tutorial provides three examples: two where functions are inverses and one where they are not.

What is the identity function used to verify if two functions are inverses?

• X^2

• 1/X

• 2X

• X

In the first example, what operation is performed to verify F(G(x))?

• Multiplication

• Subtraction

• Addition

• Division

What is the result of composing G(F(x)) in the first example?

• X

• 2X

• X/2

• 0

In the second example, what is the initial step to verify F(G(x))?

• Subtract 8 from X

• Plug G(x) into F(x)

• Add 8 to X

• Multiply by 3

What is the outcome of G(F(x)) in the second example?

• X - 8

• X

• 3X

• X + 8

Why can't the functions in the third example be inverses?

• They have different domains

• They do not simplify to X

• They are not continuous

• They are not linear

What mathematical property prevents simplification in the third example?

• Subtraction

• Division

• Addition

• Multiplication