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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2+10xf(x) = 3x^2 + 10x\newlineg(x)=4xg(x) = 4x\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)=4xg(x) = 4x\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. Find Sum: We have:\newlinef(x)=3x2+10xf(x) = 3x^2 + 10x\newlineg(x)=4xg(x) = 4x\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)+(4x)(f + g)(x) = (3x^2 + 10x) + (4x)
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=3x2+(10x+4x)(f + g)(x) = 3x^2 + (10x + 4x)\newline(f+g)(x)=3x2+14x(f + g)(x) = 3x^2 + 14x

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