What is (f+g)(x)?f(x)=–4x+4g(x)=x2–6xWrite your answer as a polynomial or a rational function in simplest form.
Question
What is (f+g)(x)?f(x)=–4x+4g(x)=x2–6xWrite your answer as a polynomial or a rational function in simplest form.
Solution
The function (f+g)(x) is defined as f(x) + g(x).
Given that f(x) = -4x + 4 and g(x) = x^2 - 6x, we can add these two functions together.
(f+g)(x) = (-4x + 4) + (x^2 - 6x)
Simplify the equation by combining like terms:
(f+g)(x) = x^2 - 10x + 4
So, (f+g)(x) = x^2 - 10x + 4 is the polynomial in simplest form.
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