Find an expression for $f(x)$ and state its domain in interval notation given that $f$ is the function that takes a real number $x$ and performs the following three steps in order:

$\hspace{0.1in}$ (1) add 13,

$\hspace{0.1in}$ (2) divide by $15$, and then

$\hspace{0.1in}$ (3) multiply by $9$.

$f(x) =$
Domain: