Question

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

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All real numbers greater than

Answer 1

-3

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).