Question 1143748
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F(x)=(3/(6+x))-3sin((1/2x)+5)
Where is the function increasing and decreasing, use interval notation?
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As this function is presented in the post, it is not periodical.


There is  NO  WAY  to determine precisely intervals,  where the function increasing and decreasing.


I mean,  there is no way to get the intervals' endpoints analytically based on  Algebra  or  Calculus.


These intervals  ARE  NOT  REGULAR  or  REGULARLY  REPEATING.



The problem is poorly posed.