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What is (f+g)(x)?f(x)=–5x+2g(x)=5xWrite your answer as a polynomial or a rational function in simplest form.

Question

What is (f+g)(x)?f(x)=–5x+2g(x)=5xWrite your answer as a polynomial or a rational function in simplest form.

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Solution

The function (f+g)(x) is defined as f(x) + g(x).

Given that f(x) = -5x + 2 and g(x) = 5x, we can substitute these into the equation:

(f+g)(x) = f(x) + g(x) = (-5x + 2) + 5x = -5x + 5x + 2 = 2

So, (f+g)(x) = 2.

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