Let $F(x)=x^{2}-1$ and $G(x)=2-x$
Find $(F+G)(x)$.
\[
(F+G)(x)=\square
\]

Answer

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Answer

Final Answer: $(F+G)(x)=\boxed{x^{2} - x + 1}$

Steps

Step 1 ：Let $F(x)=x^{2}-1$ and $G(x)=2-x$.

Step 2 ：Find $(F+G)(x)$.

Step 3 ：We need to add the two functions $F(x)$ and $G(x)$ together. This means we add $x^{2}-1$ and $2-x$ together.

Step 4 ：We can do this by simply adding the corresponding terms of the two functions.

Step 5 ：The result of adding the functions $F(x)$ and $G(x)$ together is $x^{2} - x + 1$.

Step 6 ：Final Answer: $(F+G)(x)=\boxed{x^{2} - x + 1}$