Find the inverse of a linear function then determine if the inverse is a function or not

The video tutorial provides a detailed, step-by-step guide on finding the inverse of a function. It begins with replacing F(x) with Y, then swapping the X and Y variables. The next step involves solving for Y using inverse operations, emphasizing the reverse order of operations. Finally, the tutorial concludes with replacing Y with the inverse function notation. The process is illustrated with examples, ensuring students understand each step clearly.

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

• Swap X and Y variables

• Replace F(x) with Y

• Solve for Y

• Apply the distributive property

When solving for Y, which operation should be undone first?

• Multiplication by negative 2/5

• Division by 5

• Addition by two

• Subtraction by 10

What is the purpose of using the reciprocal in solving for Y?

• To subtract terms

• To multiply terms

• To divide terms

• To add terms

What should be done after solving for Y to complete the inverse function?

• Swap X and Y again

• Replace Y with F inverse of X

• Add 5 to the result

• Multiply by 2

What is the final simplified form of the inverse function in the example?

• Negative 5X plus 10

• 5 halves X plus 5

• Negative 5 halves X minus 5

• 5X minus 10