Domain of rational function with radical in the denominator

The video tutorial explores the concept of function definition, focusing on whether a function is undefined for any values. It discusses setting up inequalities to ensure the function remains defined, particularly avoiding values that make the denominator zero. The tutorial also covers the domain of the function, emphasizing that it includes all numbers greater than one, and explains how to represent this on a graph using parentheses to indicate the range from zero to infinity.

Why is it important to ensure that the denominator does not equal zero in a function?

What is the condition for the function F of X = sqrt(X - 1) to be defined?

What values of X make the function undefined, and why?

How do you determine the domain of the function F of X = sqrt(X - 1)?

What does the graph of the function F of X = sqrt(X - 1) look like, and what does it represent?