Find domain of function in interval notation.f(x) = (7)/( x - 9)

Question

Find domain of function in interval notation.
`f(x) = (7)/( x - 9)`

Answer 1

We have the following function:

`f(x)=(7)/(x-9)`

we can see that x can't be equal to 9 because we will get

`\begin{gathered} f(9)=(7)/(9-9) \\ f(9)=(7)/(0)\longrightarrow\text{indeterminate} \end{gathered}`

therefore, the domain is

`x\in(-\infty,9)\cup(9,\infty)`