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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−x2+10xf(x) = -x^2 + 10x\newlineg(x)=5xg(x) = 5x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=−x2+10xf(x) = -x^2 + 10x\newlineg(x)=5xg(x) = 5x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Identify formula: Identify the formula for (f+g)(x)(f + g)(x).(f+g)(x)(f + g)(x) is the sum of f(x)f(x) and g(x)g(x).(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)
  2. Given functions: We have: \newlinef(x)=−x2+10xf(x) = -x^2 + 10x \newlineg(x)=5xg(x) = 5x \newlineNow, let's find (f+g)(x)(f + g)(x) by adding f(x)f(x) and g(x)g(x) together.\newline(f+g)(x)=(−x2+10x)+(5x)(f + g)(x) = (-x^2 + 10x) + (5x)
  3. Combine terms: Combine like terms to simplify the expression.\newline(f+g)(x)=−x2+10x+5x(f + g)(x) = -x^2 + 10x + 5x\newline(f+g)(x)=−x2+15x(f + g)(x) = -x^2 + 15x

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