Mathematics

Problem

Let

n

be the number of elements in the domain set of the function

f(x)=\left\lfloor \ln \sqrt{x^2+5x}-\frac{1}{x+3}\right\rfloor

and

Y

be the global maximum value of

f(x)

, then

\left\lfloor n+\left\lfloor Y\right\rfloor\right\rfloor

is .....