How to write the inverse of a function when it is a fraction

The video tutorial explains how to find the inverse of a function, starting with identifying domain restrictions. It details the process of replacing F(x) with Y, swapping variables, and solving for Y by getting variables on the same side. The tutorial covers factoring and simplifying the equation to isolate Y, and concludes with determining the domain of the inverse function, including inherited restrictions.

What is the inherited domain of the function discussed in the video?

• x cannot equal 1

• x cannot equal 2

• x cannot equal -1

• x cannot equal 0

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

• Factor out y

• Multiply by the denominator

• Replace f(x) with y

• Apply the distributive property

Why is it important to have variables on the same side when solving for y?

• To ensure the equation is balanced

• To simplify the equation

• To solve for a variable

• To apply the zero product property

What method is used to isolate y in the inverse function?

• Cross-multiplying

• Combining like terms

• Using the zero product property

• Factoring

What is the domain of the inverse function?

• Negative infinity to -1, union -1 to infinity

• Negative infinity to 1, union 1 to infinity

• Negative infinity to 2, union 2 to infinity

• Negative infinity to 0, union 0 to infinity