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i could have sworn i just did this problem
but no matter we do it again
\[g\circ f\] first \[g\circ f(1)=g(f(1))=g(1)=0\] so we have (1,0) \[g\circ f(0)=g(f(0))=g(-3)=1\] so two ordered pairs for \[g\circ f\] are \[\{(1,0),(0,1)\}\]
now for \[f\circ g\] \[f\circ g(1)=f(g(1))=f(0)=-3\] giving (1,-3) \[f\circ g(-3)=f(g(-3))=f(1)=1\] giving (-3,1) and finally \[f\circ g(2)=f(g(2))=f(1)=1\]giving (2,1) ordered pairs for \[f\circ g\] are \[\{(1,-3),(-3,1),(2,1)\}\]
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