# What is the domain and range of f(x)=4log(x+2)-3?

Sep 26, 2017

See explanation.

#### Explanation:

The domain is the subset of $\mathbb{R}$ for which the function is defined.
In this case the domian is the subset, for which:

## $x + 2 > 0$

$x > - 2$

The domain is D=(-2;0)

This function takes every real value, so the range is $\mathbb{R}$