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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2−10xf(x) = 3x^2 - 10x\newlineg(x)=−x2g(x) = -x^2\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)=3x2−10xf(x) = 3x^2 - 10x\newlineg(x)=−x2g(x) = -x^2\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. Calculate sum: We have:\newlinef(x)=3x2−10xf(x) = 3x^2 - 10x\newlineg(x)=−x2g(x) = -x^2\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)=(3x2−10x)+(−x2)(f + g)(x) = (3x^2 - 10x) + (-x^2)
  3. Combine like terms: Combine like terms to simplify the expression.\newline(f+g)(x)=3x2−10x−x2(f + g)(x) = 3x^2 - 10x - x^2\newline(f+g)(x)=(3x2−x2)−10x(f + g)(x) = (3x^2 - x^2) - 10x\newline(f+g)(x)=2x2−10x(f + g)(x) = 2x^2 - 10x

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