An inventory analyst is programming a spreadsheet to forecast supply chain delays, utilizing the function $g(x) = \sqrt{\frac{6}{x - 1}}$. To prevent formula errors, the analyst must define the valid domain of the function. What mathematical conditions must the analyst recall to determine this domain?

In a data processing application, the function $g(x) = \sqrt{\frac{6}{x - 1}}$ is used to filter incoming signals. True or False: The domain of this function is $(1, \infty)$.

A manufacturing software engineer is documenting the mathematical logic behind a data validation function $g(x) = \sqrt{\frac{6}{x - 1}}$. Match each component of the function with the specific mathematical constraint it imposes on the valid domain of $x$.

A software developer is writing a data validation module for a tool that uses the function $g(x) = \sqrt{\frac{6}{x - 1}}$. Arrange the following steps in the correct order to recall the mathematical procedure for determining the function's valid domain.

A financial software developer is writing unit tests for a risk modeling module that utilizes the function $g(x) = \sqrt{\frac{6}{x - 1}}$. To prevent the software from returning an error due to a negative radicand or division by zero, the developer recalls that the expression $x - 1$ must be strictly positive. Therefore, the function is only valid for all real numbers $x$ strictly greater than ____.