Question

Find the domain of the rational expression: x-3/2x-8

Answer 1

Answer:

$\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}$

Step-by-step explanation:

$\dfrac{x-3}{2x-8}$

We know: the denominator must be different than 0.

Therefore

$2x-8\neq0$        add 8 to both sides

$2x-8+8\neq0+8$

$2x\neq8$             divide both sides by 2

$\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4$