Determine the domain of a radical multiplied by a variable

The video tutorial explains how to determine the domain of a function involving a quadratic term and a radical. It begins by introducing the function and identifying the quadratic component. The focus then shifts to the radical, emphasizing the importance of the radicand being non-negative to define the domain. The instructor demonstrates solving the inequality to find the domain and discusses graphing the solution. The domain is expressed in interval notation, and the tutorial concludes with a summary of the key points.

What is the significance of the radicand in determining the domain of the function?

How do you set the radicand greater than or equal to zero, and why is this step important?

Can you explain how to find the domain of the function given the inequality 2X - 3 ≥ 0?

What does the interval notation 'three halves, Infinity' represent in terms of the domain?

Why is it important to identify the domain when working with functions that include radicals?