Question

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

Answer 1

`g(x) = 7/(10-3x)`
is defined for all Real values of `x` except `x=10/3` (which would result in an attempt to divide by zero).

Therefore the domain of `g(x)` is
`[-oo,10/3)uuu(10/3,+oo]`

That is the union of all values less that `10/3` with all values greater than `10/3`