The next few problems are focused on the combination of functions: Suppose $f$ and $g$ are two functions. Then we define

$(f+g)(x) = f(x) + g(x),$
$(f-g)(x) = f(x) - g(x),$
$(fg)(x) = (f\times g)(x) = f(x) \times g(x),$
$(f/g)(x) =\left(\frac{f}{g}\right) (x) = \frac{f(x)}{g(x)},$
$(f\circ g) (x) = f(g(x)),$ and
$(g\circ f) (x) = g(f(x)).$
Suppose $$f(x) = 2x+1$$ and $$g(x) = x+2.$$ Then


$(f+g)(x) =$ ,
$(f-g)(x) =$ ,
$(fg)(x) =$ ,
$(f/g)(x) =$ ,
$(f\circ g)(x) =$ , and
$(g\circ f)(x) =$ .