This topic practices finding the domain of compositions of two functions, where the outer function is a divided by the square root of the inner function. Each problem presents two functions, \( f(x) \) being in the form of an integer divided by the square root of \( x \), and \( g(x) \) being a quadratic function. The task is to determine the domain of \( f(g(x)) \) and select the correct representation of this domain on a number line. This topic builds skills in combining function operations and visualizing domains on number lines.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.