Find the domain of the rational expression x-4/2x-6
The domain of a rational expression is all real numbers except for the values of x that make the denominator equal to zero.
In this case, the denominator is 2x-6. Setting this equal to zero and solving for x:
2x - 6 = 0
2x = 6
x = 3
So, the domain of the rational expression is all real numbers except for x = 3. This can be written as:
Domain: x ≠ 3