To proceed with function operations involving $f(x)$ and $g(x)$, I'll need the specific definitions of $f(x)$ and $g(x)$ as given in your question or image. Once I have those, we can perform common operations like addition, subtraction, multiplication, division, and composition of the two functions.

Could you provide the definitions of $f(x)$ and $g(x)$ so we can proceed with the operations?