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

##### 1 Answer

Domain:

Range:

#### Explanation:

Given:

It's helpful to understand the parent function:

Analytically, the domain is limited by the

The range can be any value of

graph{log(x) [-2, 15, -5, 5]}

The given function has a horizontal shift

Graph of

Analytically, the domain is limited by the

Domain:

graph{4 log(x+2) - 3 [-5, 15, -10, 5]}