Question

State the DOMAIN of the following function using interval notation. f(x) = -3 log2 ^x+4 -5

Answer 1

Answer:

To find the domain of the given function

$f(x)=-3\log_2(x+4)-5$

we know that, logarithm of negative value is not defined,

we get that,

$x+4\ge0$$x\ge-4$

The domain of the given function is,

$x\ge-4$

In Interval notation we get,

$[-4,\infty)$

Answer is:

$[-4,\infty)$