Finding the Domain of a Function Algebraically – Step-by-Step Examples!
Description: In this video, I walk through finding the domain of a function algebraically—without using any graphs! We’ll cover two key examples.
In the first example, we analyze a rational function where we need to exclude values of 𝑥 that result in a zero denominator. This helps us determine the valid domain of the function.
In the second example, we solve a linear inequality to ensure that we don’t end up with negative numbers under a square root.
Each of these examples is fundamental and widely applicable, appearing throughout algebra, precalculus, calculus, and more. Whether you’re learning about domains for the first time or need a refresher, these examples will help you master finding domains algebraically.
What You Will Learn:
How to find the domain of rational functions by excluding zero denominators
How to solve linear inequalities to ensure non-negative square root values
The foundational skills for determining the domain of a function without graphing
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