# What is the domain of g(x) = 3^(x+3)?

Apr 14, 2017

$\text{D} : \left\{x \in \mathbb{R}\right\}$.

#### Explanation:

Cool thing about this type of function, is that although the function does not touch the $x$-axis, it's domain is not limited.

Thus, we have $\text{D} : \left\{x \in \mathbb{R}\right\}$.

We can check this by graphing the function.
graph{3^(x+3) [-12.063, 3.96, -1.89, 6.12]}

As you can see, along the vertical axis, the $x$-value continues to increase (slowly but surely).

Hope this helps :)