Answer:
To find the domain of the given function
[tex]f(x)=-3\log_2(x+4)-5[/tex]
we know that, logarithm of negative value is not defined,
we get that,
[tex]x+4\ge0[/tex][tex]x\ge-4[/tex]
The domain of the given function is,
[tex]x\ge-4[/tex]
In Interval notation we get,
[tex][-4,\infty)[/tex]
Answer is:
[tex][-4,\infty)[/tex]
