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f(x)=log(5)(cos^(-1)sqrt(x^(2)+5x+6)+sec...

`f(x)=log_(5)(cos^(-1)sqrt(x^(2)+5x+6)+sec^(-1)[{x}+1]([.]` denotes greatest integer function and `{.}` denotes fractional part function. Find the domain of `f(x)`:

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