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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−xf(x) = -x\newlineg(x)=4x+2g(x) = 4x + 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)=−xf(x) = -x\newlineg(x)=4x+2g(x) = 4x + 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)=4x+2g(x) = 4x + 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)+(4x+2)(f + g)(x) = (-x) + (4x + 2)
  3. Combine functions: Simplify the expression by combining like terms.\newline(f+g)(x)=−x+4x+2(f + g)(x) = -x + 4x + 2\newline(f+g)(x)=3x+2(f + g)(x) = 3x + 2

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