Question

Determine the field of existence of the function f(x) = 1 / √(1-3x) 

Answer 1

$$\begin{matrix} 1-3x\geq0\\ 1-3x\not=0 \end{matrix}$$

$$x<\dfrac{1}{3}$$

Domain: $(-\infin, \dfrac{1}{3}).$

Range: $(0, \infin)$