Learn how to find the inverse of a rational expression

The video tutorial explains how to solve an equation involving variables, focusing on getting Y off the denominator and applying the distributive property. It demonstrates factoring to combine terms and solve for Y, and concludes with writing the inverse function. The process is broken down into clear steps, emphasizing the importance of following the correct order of operations.

What is the first step to solve for Y when it is in the denominator?

• Add 2Y + 1 to both sides

• Multiply by 2Y + 1 on both sides

• Subtract 2Y + 1 from both sides

• Divide by 2Y + 1 on both sides

Why can't we solve for Y when it appears on both sides of the equation?

• Because Y is not a constant

• Because Y is in the denominator

• Because Y needs to be isolated on one side

• Because Y is a variable

What property is applied to bring Y to one side of the equation?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

How do you combine terms to have a single Y in the equation?

• By factoring out Y

• By dividing Y by a constant

• By multiplying Y by a constant

• By adding Y to both sides

What is the final step to solve for Y after factoring it out?

• Divide by the remaining expression

• Multiply by the remaining expression

• Add the remaining expression to both sides

• Subtract the remaining expression from both sides