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

Jun 16, 2016

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

$3 - 5 x = 0$ that is $5 x = 3$ and $x = \frac{3}{5}$.

So the domain is $\setminus m a t h \boldsymbol{R} - \left\{\frac{3}{5}\right\}$ that is all the real numbers except $\frac{3}{5}$.