Finding the inverse of a rational function

The video tutorial explains how to find the inverse of a function, specifically G of X = X + 3 / 2. The process involves replacing the function with an equation by using Y instead of G of X, swapping the X and Y coordinates, and solving for Y. Finally, the equation is rewritten in function notation to represent the inverse function.

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

• Multiply both sides by 2

• Swap the X and Y coordinates

• Replace the function with an equation using Y

• Subtract 3 from both sides

When finding the inverse, what do you do after replacing G of X with Y?

• Solve for X

• Swap the X and Y coordinates

• Divide by 2

• Add 3 to both sides

What operation is performed first to solve for Y after swapping coordinates?

• Add 3 to both sides

• Divide by 2

• Multiply by 2 on both sides

• Subtract 3 from both sides

How do you express the inverse function in notation after solving the equation?

• As X equals

• As the inverse of X

• As Y equals

• As G of X

What is the final form of the inverse function for G of X = X + 3 / 2?

• Y = X + 3

• Y = 2X - 3

• Y = 2X + 3

• Y = X - 3