Learn how to find the inverse of a quadratic equation

The video tutorial explains how to solve a mathematical problem involving functions and inverses. It begins by setting up the problem, swapping variables, and solving for Y by undoing operations like subtraction and squaring. The tutorial emphasizes the importance of considering both positive and negative roots. It concludes by discussing the complexity of the problem and the need to handle negative square roots by including imaginary numbers.

What is the first step in solving for Y after swapping X and Y?

• Divide both sides by a constant

• Undo the subtraction

• Multiply both sides by a constant

• Add a constant to both sides

When taking the square root of both sides, what must be included?

• Only the negative root

• Only the positive root

• Neither root

• Both positive and negative roots

What is the equation after taking the square root and isolating Y?

• Y = ± sqrt X + 3

• Y = ± sqrt X - 3

• Y = ± sqrt X + 1

• Y = ± sqrt X - 1

What is the final expression for Y inverse?

• Y inverse = -1 ± sqrt X - 3

• Y inverse = 1 ± sqrt X + 3

• Y inverse = -1 ± sqrt X + 3

• Y inverse = 1 ± sqrt X - 3

Why is it important to consider 'i' when taking the square root of a negative number?

• To simplify the equation

• To avoid division by zero

• To account for the imaginary component

• To ensure the result is a real number