Step by step find the inverse of the reciprocal function

The video tutorial guides students through the process of finding the inverse of a function. It begins with replacing F of X with Y and swapping variables, a step often missed by students. The teacher then explains how to solve for Y, emphasizing the importance of handling denominators correctly. Finally, the tutorial covers finding the inverse of the function and stresses the use of proper inverse notation.

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

• Distribute X across the equation

• Multiply by minus two on both sides

• Replace F(x) with Y and swap the variables

• Add two to both sides

Why is it important to swap the variables when finding the inverse?

• It helps in distributing X

• It is a common mistake that leads to marks being deducted

• It simplifies the equation

• It makes the equation linear

What operation is performed to remove Y from the denominator?

• Multiply by minus two on both sides

• Add two to both sides

• Distribute X

• Swap the variables

What is the result of dividing by X on both sides?

• Y is isolated

• The equation becomes linear

• Y is removed from the denominator

• The equation is simplified

What is the correct inverse notation for the function?

• Y = 3 / X + 2

• X = 3 / Y + 2

• F(x) = 3 / X + 2

• F inverse of X = 3 / X + 2