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Function Operations, Adding and Subtracting
Given the function f(x)=x−\displaystyle {f{{\left({x}\right)}}}={x}- and the function g(x)=x2+x+\displaystyle {g{{\left({x}\right)}}}={x}^{{2}}+{x}+ determine each of the following.

For A and B, give the exact answer. For C, D and E, give the answer as a simplified expression written in descending order.
A) Evaluate f()+g()\displaystyle {f{{()}}}+{g{{()}}}      f()+g()=\displaystyle {f{{()}}}+{g{{()}}}=
B) Evaluate f()−g()\displaystyle {f{{()}}}-{g{{()}}}      f()−g()=\displaystyle {f{{()}}}-{g{{()}}}=
C) Evaluate f(x)+g(x)\displaystyle {f{{\left({x}\right)}}}+{g{{\left({x}\right)}}}  f(x)+g(x)=\displaystyle {f{{\left({x}\right)}}}+{g{{\left({x}\right)}}}=
D) Evaluate f(x)−g(x)\displaystyle {f{{\left({x}\right)}}}-{g{{\left({x}\right)}}}f(x)−g(x)=\displaystyle {f{{\left({x}\right)}}}-{g{{\left({x}\right)}}}=
E) Evaluate g(x)−f(x)\displaystyle {g{{\left({x}\right)}}}-{f{{\left({x}\right)}}}  g(x)−f(x)=\displaystyle {g{{\left({x}\right)}}}-{f{{\left({x}\right)}}}=

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