How to determine if a rational function has an inverse and what it is

The video tutorial explains the process of solving algebraic equations by substituting F of X with Y for simplicity. It covers the steps of swapping variables, solving for Y, and using the distributive property. The tutorial also discusses solving literal equations by factoring and concludes with finding the inverse function.

Why is it recommended to replace F of X with Y when solving algebraic equations?

What is the first step in solving for Y in the equation X = Y / (Y + 1)?

Explain the process of eliminating a variable from the denominator when solving an equation.

How do you apply the distributive property to solve for Y in the equation Y * X + X = Y?

What is the final expression for F inverse of X after solving the equation?