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Function Operations
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.

Give your answer as an integer or simplified fraction.
Evaluate g()+f()\displaystyle {g{{()}}}+{f{{()}}}      g()+f()=\displaystyle {g{{()}}}+{f{{()}}}=
Evaluate f()−g()\displaystyle {f{{()}}}-{g{{()}}}      f()−g()=\displaystyle {f{{()}}}-{g{{()}}}=
Evaluate f()⋅g()\displaystyle {f{{()}}}\cdot{g{{()}}}  f()⋅g()=\displaystyle {f{{()}}}\cdot{g{{()}}}=
D) Evaluate g()f()\displaystyle \frac{{g{{()}}}}{{f{{()}}}}g()f()=\displaystyle \frac{{g{{()}}}}{{f{{()}}}}=

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