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Pls do it right my last tutor gave me the wrong answer

Pls do it right my last tutor gave me the wrong answer-example-1

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To realize the operation, we are going to follow the next development


\begin{gathered} g(x)-f(x)=(x^2-x+1)-(3x+2) \\ g(x)-f(x)=x^2-x+1-3x-2=x^2-4x-1 \end{gathered}

So, the answer to the operation is x^{2}-4x-1. As we have a polynomial function, the domain is given by all real numbers.

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