Answer:
All real numbers except 3
Step-by-step explanation:
Given
[tex]\frac{x - 4}{2x - 6}[/tex]
Required
Determine the domain
We start by writing the following inequality
[tex]2x - 6 \neq 0[/tex]
Add 6 to both sides
[tex]2x -6 + 6 \neq = 0 + 6[/tex]
[tex]2x \neq 6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}\neq \frac{6}{2}[/tex]
[tex]x \neq \frac{6}{2}[/tex]
[tex]x \neq = 3[/tex]
As such, the domain of x is all real numbers except 3
