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find domain of function in interval notation.[tex]f(x) = \frac{7}{ x - 9} [/tex]

Answer :

We have the following function:

[tex]f(x)=\frac{7}{x-9}[/tex]

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

[tex]\begin{gathered} f(9)=\frac{7}{9-9} \\ f(9)=\frac{7}{0}\longrightarrow\text{indeterminate} \end{gathered}[/tex]

therefore, the domain is

[tex]x\in(-\infty,9)\cup(9,\infty)[/tex]

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