# How do you find the domain of the function g(x)=7/(10-3x)?

$g \left(x\right) = \frac{7}{10 - 3 x}$
is defined for all Real values of $x$ except $x = \frac{10}{3}$ (which would result in an attempt to divide by zero).
Therefore the domain of $g \left(x\right)$ is
$\left[- \infty , \frac{10}{3}\right) \bigcup \left(\frac{10}{3} , + \infty\right]$
That is the union of all values less that $\frac{10}{3}$ with all values greater than $\frac{10}{3}$