Finding the Domain of Composite Functions: Restrictions for Numerator and Denominator

In this video, we explore how to find the domain of a function with both square root and fraction components: f(x) = (sqrt(4 + 2x)) / (x - 2). Watch as we break down the numerator and denominator restrictions step-by-step to determine the values of x where the function is defined. This example includes a clear number line illustration to show how to handle restrictions for both the square root and division, helping students understand domains with multiple constraints. Perfect for high school and college students studying algebra and precalculus!

Keywords: finding domain, composite function domain, square root restrictions, denominator restrictions, algebra tutorials, precalculus functions