Writing the domain of a rational function with the radical in the numerator

The video tutorial explains the concept of implied domain in functions, focusing on identifying domain restrictions. It covers how to handle non-real numbers, such as those resulting from division by zero or taking the square root of negative numbers. The tutorial also discusses domain constraints and provides solutions, emphasizing the importance of setting denominators to zero and radicals to non-negative values. Finally, it illustrates how to represent the domain graphically using a number line.

What is the implied domain in the context of a function?

What are the two restrictions mentioned when determining the domain?

Why can't we plug in values that make the denominator equal to zero?

What is the significance of the zero product property in finding the domain?

What happens when you try to take the square root of a negative number?

How do you determine the values that are not in the domain?

How would you express the domain of a function that has restrictions?