This math topic focuses on identifying the domain of functions in which a linear expression is divided by the square root of another linear expression. The problem set consists of various questions where students are asked to determine the correct domain representation on a number line based on the given functions. Skills practiced include analyzing the domains of rational functions involving square roots, ensuring that the values under the square root are non-negative, and visualizing these conditions on number lines.

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Function Domain - Fraction Linear over Root of Linear to Number Line

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What number line shows the domain of this function?

f(x)=1x51x1f(x) = \frac{1x-5}{\sqrt{1x-1}}

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