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Function Composition
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 a simplified fraction.
Evaluate f(g())\displaystyle {f{{\left({g{{()}}}\right)}}}f(g())=\displaystyle {f{{\left({g{{()}}}\right)}}}=
Evaluate g(f())\displaystyle {g{{\left({f{{()}}}\right)}}}g(f())=\displaystyle {g{{\left({f{{()}}}\right)}}}=

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