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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−4xf(x) = -4x\newlineg(x)=−2x+3g(x) = -2x + 3\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)=−4xf(x) = -4x\newlineg(x)=−2x+3g(x) = -2x + 3\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)=−4xf(x) = -4x \newlineg(x)=−2x+3g(x) = -2x + 3 \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)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(−4x)+(−2x+3)(f + g)(x) = (-4x) + (-2x + 3)
  3. Combine Like Terms: Combine the like terms to simplify the expression.\newline(f+g)(x)=−4x−2x+3(f + g)(x) = -4x - 2x + 3\newline(f+g)(x)=−6x+3(f + g)(x) = -6x + 3

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