Answer:
[tex]Domain= \{x<2\ or\ x>2\}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 5}{3x - 6}[/tex]
Required
The domain
Equate the denominator to 0
[tex]3x - 6 = 0[/tex]
Solve for x
[tex]3x = 6[/tex]
[tex]x = 2[/tex]
This means that the value of x cannot be 2 for the given function.
So, the domain is:
[tex]Domain= \{x<2\ or\ x>2\}[/tex]
