Question

Find the domain of the function () =<br />$\sqrt{ \frac{x - 3}{x(3x + 15)} }$<br />​

Answer 1

Step-by-step explanation:

We have,

$f(x) = \sqrt{ \frac{x - 3}{3x(x + 5)} }$

For f(x) to be defined,

$\frac{x - 3}{3x(x + 5)} > 0$

$\implies x\in(-5,0) U (3,\infty)$