# Suppose f is defined on [0,4] and g(x)=f(x+3) what is the domain of g?

##### 1 Answer
Jan 3, 2017

$\left[- 3 , 1\right]$

#### Explanation:

The notation $h \left(x + n\right)$ means a horizontal transformation $n$ units to the left.

Thus, the domain of $g$ is $\left[0 - 3 , 4 - 3\right] = \left[- 3 , 1\right]$

Hopefully this helps!