Question

How do you find the domain of `g(x)=10/(3-5x)`?

Answer 1

Evaluating when the denominator is zero.

Explanation:

The only problem that the function can have is when the denominator is zero (you cannot divide by zero).
The denominator is zero when

`3-5x=0` that is `5x=3` and `x=3/5`.

So the domain is `\mathbb{R}-{3/5}` that is all the real numbers except `3/5`.