Question

Find the domain of the rational expression: x-4/2x-6

Answer 1

Answer:

All real numbers except 3

Step-by-step explanation:

Given

$\frac{x - 4}{2x - 6}$

Required

Determine the domain

We start by writing the following inequality

$2x - 6 \neq 0$

Add 6 to both sides

$2x -6 + 6 \neq = 0 + 6$

$2x \neq 6$

Divide both sides by 2

$\frac{2x}{2}\neq \frac{6}{2}$

$x \neq \frac{6}{2}$

$x \neq = 3$

As such, the domain of x is all real numbers except 3