Answer:
The correct option is A
[tex]\frac{\pi}{4}[/tex]
Explanation:
The domain of the given function:
[tex]f(x)=2cot(3x)+4[/tex]
is given as:
[tex]\lbrace x\in\Re:\frac{3x}{\pi}\notin Z\rbrace[/tex]
Since
[tex]\frac{3x}{\pi}[/tex]
is not an integer, x must be
[tex]\frac{\pi}{4}[/tex]
