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orWatch a videoWhat is (f–g)(x)?f(x)=2x2–2xg(x)=2xWrite your answer as a polynomial or a rational function in simplest form.Submit

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orWatch a videoWhat is (f–g)(x)?f(x)=2x2–2xg(x)=2xWrite your answer as a polynomial or a rational function in simplest form.Submit

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Solution

To find (f-g)(x), you need to subtract the function g(x) from f(x).

Here are the functions you provided:

f(x) = 2x^2 - 2x g(x) = 2x

Now, subtract g(x) from f(x):

(f-g)(x) = f(x) - g(x) = (2x^2 - 2x) - 2x = 2x^2 - 2x - 2x = 2x^2 - 4x

So, (f-g)(x) = 2x^2 - 4x.

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