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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+\displaystyle {g{{\left({x}\right)}}}={x}^{{2}}+ determine each of the following.

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

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