# How do you find the domain of f(m)=-7/(m+14) and write the domain in interval notation?

Oct 8, 2017

Domain : $m | \left(- \infty , - 14\right) \cup \left(- 14 , \infty\right)$

#### Explanation:

$f \left(m\right) = - \frac{7}{m + 14}$ Domain (Input value of m) : function is

undefined if denominator is zero. $\therefore m + 14 \ne 0$ or

$m \ne - 14 \therefore$ Domain of $f \left(m\right)$ is any real value of $m$ except

$m = 14$. In interval notation it may be expressed as

$\left(- \infty , - 14\right) \cup \left(- 14 , \infty\right)$

graph{-7/(x+14) [-80, 80, -40, 40]}
[Ans]