Writing the inverse of a function given a square root

The video tutorial walks through solving an example function F of X = X - 3. It outlines the steps to find the inverse function: replacing F of X with Y, swapping X and Y, and solving for Y by undoing the square root. The final solution is presented as Y = X^2 + 3, or F inverse of X = X^2 + 3.

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

• Add 3 to both sides

• Solve for X

• Swap X and Y

• Replace F(x) with Y

What do you do after swapping the X and Y variables?

• Multiply both sides by 2

• Replace F(x) with Y

• Solve for Y

• Add 3 to both sides

How do you remove the square root when solving for Y?

• Replace F(x) with Y

• Swap X and Y

• Square both sides

• Add 3 to both sides

What is the final step to find the inverse function?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 2

• Divide both sides by X

What is the inverse function of F(x) = x - 3?

• F inverse of X = X + 3

• F inverse of X = X^2 - 3

• F inverse of X = X^2 + 3

• F inverse of X = X - 3