Learn step by step to find the inverse of a function

The video tutorial guides viewers through solving a mathematical problem involving functions and their inverses. It begins with an introduction to the problem, followed by a discussion on graph reflection over the Y=X axis and swapping variables. The tutorial then details the process of solving for Y, emphasizing the importance of getting variables on the same side and using the distributive property. Finally, the solution is finalized by factoring and dividing to isolate Y, concluding with the expression in inverse notation.

What is the main concept behind finding the inverse of a function?

• Reflecting over the Y = 2X axis

• Adding a constant to the function

• Multiplying the function by a constant

• Swapping the X and Y coordinates

When solving for Y, what should you do if the variable is in the denominator?

• Add the denominator to both sides

• Multiply both sides by the denominator

• Divide both sides by the denominator

• Subtract the denominator from both sides

What property is applied to simplify the equation when solving for Y?

• Distributive property

• Commutative property

• Identity property

• Associative property

How do you isolate Y in the equation YX - 2Y = -X - 3?

• Add 2Y to both sides

• Subtract X from both sides

• Factor out Y and divide

• Multiply by X

What is the final step after isolating Y to express the inverse function?

• Multiply Y by a constant

• Reflect it over the X-axis

• Put it back into inverse notation

• Add a constant to Y