The given function is,
[tex]f\left(x\right)=log_4\left(x+9\right)[/tex]
Using graphical method to resolve the domain of the function.
The graph of the function is shown below
When looking at a graph, the domain is all the values of the graph from left to right.
Hence, the domain is
[tex]\:\left(-9,\:\infty \:\right)[/tex]
