Inverse Functions and Their Properties

The video tutorial introduces inverse functions, explaining their definition and how to write them by flipping X and Y. It covers solving inverse functions and their graphical representation, emphasizing reflection over the line y=x. The tutorial also discusses verifying inverse functions using F of G of X and G of F of X, ensuring they equal X. The session includes examples and interactive elements to engage students.

What is the basic operation to find an inverse function?

• Multiply X and Y

• Flip X and Y

• Subtract X from Y

• Add X and Y

When given a set of points, how do you determine the inverse?

• Multiply each point by 2

• Add 1 to each point

• Switch the X and Y values

• Keep the points the same

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

• Add 3 to Y

• Multiply by 5

• Replace f(x) with Y

• Solve for X

How are inverse functions represented graphically?

• As identical lines

• As perpendicular lines

• As reflections over the line y = x

• As parallel lines

What is the method to verify if two functions are inverses?

• Subtract their inputs

• Check if their graphs are parallel

• Use the composition of functions

• Add their outputs

In the example problem, what is the result of F(G(x)) if F and G are inverses?

• Y

• X

• 0

• 1