Question 282221
The domain of a rational function is when the denominator can't be 0:

{{{g(x)=1/(10-7x)}}}

so if we set the denominator equal to 0, we can see which values do not work:

{{{10-7x = 0}}}(subtract 10 on both sides)
{{{-7x = -10}}}(divide -7 on both sides)
{{{x = 10/7}}} 

so the domain can be anything but 10/7 because that is when the denominator is 0.

In interval notation: (-inf,10/7)U(10/7,inf)