Solution:
Given:
[tex]f(x)=2cot(3x)+4[/tex]
The domain of the function is;
[tex]\frac{\pi }{3}nHence, the x-value that is in the domain of the function is;[tex]\begin{gathered} any\text{ value that is not a multiple of }\frac{\pi}{3} \\ \\ Hence,\text{ } \\ \frac{\pi}{3},\pi,2\pi\text{ will be multiples of 3x and will make the function undefined.} \\ \\ Therefore,\text{ the x-value in the domain is }\frac{\pi}{4}\text{ because putting x = }\frac{\pi}{4}\text{ makes the function defined} \end{gathered}[/tex]
Therefore, OPTION A is correct.
