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