How to find the inverse of a rational function

The video tutorial explains how to find the inverse of a function through a series of steps. It begins by introducing the concept of inverses and the importance of function notation. The process involves four main steps: swapping F of X for Y, swapping X and Y, solving for Y, and finally swapping Y for F inverse of X. These steps are explained in detail to help understand the algebraic manipulation required to find the inverse of a function.

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

• Add 1 to both sides

• Swap x and y

• Replace F(x) with y

• Multiply by 5

Why do we swap x and y when finding the inverse of a function?

• Because the domain of the function becomes the range of the inverse

• To change the function's notation

• To make the equation simpler

• To eliminate fractions

What operation is performed to both sides of the equation to eliminate the fraction?

• Divide by 5

• Subtract 1

• Multiply by 5

• Add 1

After solving for y, what is the final step in finding the inverse function?

• Divide by 5

• Swap x and y again

• Replace y with F(x)

• Replace y with F inverse of x

What is the inverse function of F(x) = 5x + 1?

• F inverse of x = (x + 1) / 5

• F inverse of x = 5x + 1

• F inverse of x = 5x - 1

• F inverse of x = x - 1 / 5