How to find the inverse of a function then determine domain and range

The video tutorial explains how to identify the domain and range of a function, find its inverse, and handle square roots. It begins with identifying the domain, followed by steps to find the inverse by swapping variables and solving for Y. The tutorial emphasizes the importance of considering both positive and negative values when introducing square roots. Finally, it covers determining the domain and range of radical functions, ensuring the values inside the radical are non-negative.

What is the domain of a function if there are no constraints like division by a variable or square roots?

• From 0 to infinity

• From 1 to 10

• From negative infinity to infinity

• From -7 to 7

When finding the inverse of a function, what is the first step?

• Introduce square roots

• Swap X and Y

• Find the range

• Solve for Y

Why is it important to consider both positive and negative values when introducing square roots?

• To simplify the equation

• To account for all possible solutions

• To ensure the function is continuous

• To find the domain

What must be true for the expression inside a radical function to determine its domain?

• It must be greater than or equal to zero

• It must be equal to zero

• It must be greater than zero

• It must be less than zero

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

• From -7 to infinity

• From 1 to 10

• From -7 to 7

• From 0 to infinity