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What is (f+g)(x)(f + g)(x)?\newlinef(x)=5x+3f(x) = 5x + 3\newlineg(x)=−3x2g(x) = -3x^2\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)=5x+3f(x) = 5x + 3\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). 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)=5x+3f(x) = 5x + 3 and g(x)=−3x2g(x) = -3x^2. Substitute these values into the formula to get (f+g)(x)=(5x+3)+(−3x2)(f + g)(x) = (5x + 3) + (-3x^2).
  3. Simplify Equation: Simplify the equation (f+g)(x)=(5x+3)+(−3x2)(f + g)(x) = (5x + 3) + (-3x^2) to find (f+g)(x)(f + g)(x).(f+g)(x)=−3x2+5x+3(f + g)(x) = -3x^2 + 5x + 3Note that we have rearranged the terms in descending order of the power of xx.

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