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

The video tutorial explains how to find the inverse of a function. It begins by replacing F of X with Y, then swapping the X and Y variables. The next step involves solving for Y using inverse operations, such as undoing addition and subtraction, and taking the square root. Finally, the tutorial concludes by replacing Y with F inverse of X, resulting in the inverse function F inverse of X = ± sqrt(X + 3).

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

• Add 3 to both sides

• Solve for Y

• Replace F(x) with Y

• Swap X and Y variables

When swapping X and Y variables, what is the new expression for X?

• X = Y + 3

• X = Y^2 + 3

• X = Y^2 - 3

• X = Y - 3

What operation should be performed first when solving for Y?

• Divide both sides

• Multiply both sides

• Subtract 3 from both sides

• Add 3 to both sides

What must be remembered when taking the square root of both sides?

• Subtract 3 from both sides

• Square both sides again

• Include plus or minus

• Only positive square root is needed

What is the final expression for the inverse function?

• F inverse of X = ± sqrt(X + 3)

• F inverse of X = X^2 + 3

• F inverse of X = ± (X - 3)

• F inverse of X = sqrt(X + 3)