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What is (f+g)(x)(f + g)(x)?\newlinef(x)=5xf(x) = 5x\newlineg(x)=x2−7xg(x) = x^2 - 7x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=5xf(x) = 5x\newlineg(x)=x2−7xg(x) = x^2 - 7x\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). The correct formula is (f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x).
  2. Substitute Values: We have f(x)=5xf(x) = 5x and g(x)=x2−7xg(x) = x^2 - 7x. Substitute these values into the formula to get (f+g)(x)=5x+(x2−7x)(f + g)(x) = 5x + (x^2 - 7x).
  3. Simplify Equation: Simplify the equation (f+g)(x)=5x+(x2−7x)(f + g)(x) = 5x + (x^2 - 7x) to find (f+g)(x)(f + g)(x).(f+g)(x)=5x+x2−7x(f + g)(x) = 5x + x^2 - 7x(f+g)(x)=x2−2x(f + g)(x) = x^2 - 2x

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