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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2+6xf(x) = 3x^2 + 6x\newlineg(x)=3x2g(x) = 3x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2+6xf(x) = 3x^2 + 6x\newlineg(x)=3x2g(x) = 3x^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+6xf(x) = 3x^2 + 6x\newlineg(x)=3x2g(x) = 3x^2\newlineNow, we need to add these two functions to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=(3x2+6x)+(3x2)(f + g)(x) = (3x^2 + 6x) + (3x^2)
  3. Combine like terms: Combine like terms.\newline(f+g)(x)=3x2+6x+3x2(f + g)(x) = 3x^2 + 6x + 3x^2\newline(f+g)(x)=3x2+3x2+6x(f + g)(x) = 3x^2 + 3x^2 + 6x\newline(f+g)(x)=6x2+6x(f + g)(x) = 6x^2 + 6x

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