Final answer:
Given the function f(x) = 6x-x^2, the simplified polynomial of the function f(x) + 2 is equated by adding 2 to the whole function and simplifying like terms, resulting in -x^2 + 6x + 2.
Step-by-step explanation:
The given function is f(x) = 6x-x^2. If we are asked to find f(x) + 2, we simply add 2 to the entire function.
So, f(x) + 2 equates to (6x - x^2) + 2. Simplify this by combining like terms.
The simplified polynomial for f(x) + 2 becomes: -x^2 + 6x + 2.
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