## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Domain = $\mathbb{R}\backslash\{1\}$ or $\{x\in \mathbb{R}|x\neq 1\}$
The domain of a real function ( a function defined on real numbers) is the set of numbers for which f(x) is defined (for which f(x) can be calculated). $g(x)=\displaystyle \frac{x^{2}}{x-1}$ can be calculated for any real x, except x=1, which yields zero in the denominator. Domain = $\mathbb{R}\backslash\{1\}$ or $\{x\in \mathbb{R}|x\neq 1\}$