Question

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

Answer 1

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)`