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Form the compositions $f \circ g$ and $g \circ f,$ and specify the domain of each of these combinations. $$f(x)=x^{2}-2 x, \quad g(x)=x+1$$...

Question

Form the compositions $f \circ g$ and $g \circ f,$ and specify the domain of each of these combinations. $$f(x)=x^{2}-2 x, \quad g(x)=x+1$$

Form the compositions $f \circ g$ and $g \circ f,$ and specify the domain of each of these combinations. $$f(x)=x^{2}-2 x, \quad g(x)=x+1$$



Answers

Find formulas for $f \circ g$ and $g \circ f,$ and state the domains of the compositions. $$ f(x)=x^{2}, g(x)=\sqrt{1-x} $$


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