Learn step by step how to find the inverse of a quadratic function

The video tutorial explains the process of swapping FX with Y and solving equations using inverse operations. It highlights the interchangeability of FX and Y, and demonstrates the square root method to solve equations. The tutorial concludes with the final steps, emphasizing the importance of considering both positive and negative outputs when introducing square roots.

What is the first step in finding the inverse of a function?

• Square the function

• Add 1 to Y

• Swap FX with Y

• Replace Y with FX

Why is it easier to work with Y instead of FX when finding the inverse?

• Y is always positive

• It reduces confusion

• Y is a constant

• FX is not interchangeable

What must be included when introducing the square root in solving for Y?

• Only the positive root

• No roots are needed

• Only the negative root

• Both positive and negative roots

What is the expression for the inverse function after solving for Y?

• F inverse of X is equal to X + 1

• F inverse of X is equal to ± sqrt(X - 1)

• F inverse of X is equal to Y - 1

• F inverse of X is equal to X squared

What should you remember about the outputs of the inverse function?

• They are always positive

• They can be two different values

• They are always negative

• They are always the same