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

$\left[- 3 , 1\right]$
The notation $h \left(x + n\right)$ means a horizontal transformation $n$ units to the left.
Thus, the domain of $g$ is $\left[0 - 3 , 4 - 3\right] = \left[- 3 , 1\right]$