What is the domain of the function f (x) = -4log2 (x+3) - 6

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All real numbers greater than

-3

Step-by-step explanation:

Given, f (x) = -4log2 (x+3) - 6

So, for domain of f (x), we have to find the domain of log2 (x+3) as all other things are just numbers which do not affect the domain.

For domain of f (x), 2 (x+3) > 0

Thus, x + 3 > 0

x > - 3.

So, all real numbers greater than - 3 are in the domain of f (x).