Let $(X,\mathcal{M})$ be a measurable space, and let $f,g:(X,\mathcal{M})\to(\mathbb{R},\mathcal{B}(\mathbb{R}))$ be [measurable functions](/page/Measurable%20Functions). Then the functions $f+g:X\to\mathbb{R}$, $fg:X\to\mathbb{R}$, $\max\{f,g\}:X\to\mathbb{R}$, $\min\{f,g\}:X\to\mathbb{R}$, and $|f|:X\to\mathbb{R}$ are measurable. If additionally $g(x)\ne 0$ for every $x\in X$, then the function $f/g:X\to\mathbb{R}$ is measurable.