Respuesta :

Given the function:

[tex]f(x)=\frac{28}{5x-22}[/tex]

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:

[tex]\begin{gathered} 5x-22=0 \\ 5x=22 \\ x=\frac{22}{5}=4.4 \end{gathered}[/tex]

So, the answer will be:

The domain is all the real numbers x except for 4.4