Find the domain and range of a function by using the inverse

The video tutorial explains how to find the domain and range of a function by determining its inverse. It begins with an introduction to the concepts of domain and range, followed by a step-by-step guide to finding the inverse of a function. The process involves replacing variables, solving for Y, and finalizing the inverse function. The tutorial concludes with an explanation of the domain and range of the inverse function, emphasizing that the domain of the inverse is the range of the original function.

What is the domain of a function with no restrictions?

• Negative infinity to positive infinity

• Zero to positive infinity

• Negative infinity to zero

• Zero to one

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

• Swap X and Y

• Replace F of X with Y

• Solve for Y

• Add 5 to both sides

How do you eliminate a fraction when solving for Y?

• Multiply by the reciprocal

• Add the reciprocal

• Subtract the fraction

• Divide by the fraction

What is the domain of the inverse function?

• Negative infinity to zero

• The same as the domain of the original function

• The range of the original function

• Zero to infinity

What can be concluded about the domain and range of the function and its inverse?

• Both are limited to integers

• Both are limited to negative numbers

• Both are all real numbers

• Both are limited to positive numbers