The function is given to be:
[tex]f(x)=\frac{2x+4}{x-2}[/tex]
The graph of the function is shown below:
On observation from the graph, we can see that the graph is decreasing along all intervals except at the asymptote:
[tex]x=2[/tex]
Therefore, the intervals of decrease are:
[tex](-\infty,2)\text{ }and\text{ }(2,\infty)[/tex]
The correct options are the FIRST and FOURTH OPTIONS.
