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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−xf(x) = -x\newlineg(x)=3x+2g(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

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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=−xf(x) = -x\newlineg(x)=3x+2g(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. Given Functions: We have: \newlinef(x)=−xf(x) = -x \newlineg(x)=3x+2g(x) = 3x + 2 \newlineNow, we need to find (f+g)(x)(f + g)(x) by adding f(x)f(x) and g(x)g(x) together.\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(−x)+(3x+2)(f + g)(x) = (-x) + (3x + 2)
  3. Find Sum: Combine the like terms to simplify the expression.\newline(f+g)(x)=−x+3x+2(f + g)(x) = -x + 3x + 2\newline(f+g)(x)=2x+2(f + g)(x) = 2x + 2

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