Given the function:
![f(x)=(28)/(5x-22)](https://img.qammunity.org/2023/formulas/mathematics/high-school/rtdafgiran5xvh6qdnbkpqdkkqxsuenpzz.png)
The domain of the function is all the possible values of x that can be
substituted into the function
The given function is a fractional function
So, the domain is all the real numbers except the zeros of the denominator
So, we will find the zeros of the denominator as follows:
![\begin{gathered} 5x-22=0 \\ 5x=22 \\ x=(22)/(5)=4.4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/8pvea9r9z6ytht401w3adq4h6zmpzwicl4.png)
So, the answer will be:
The domain is all the real numbers x except for 4.4