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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2f(x) = 3x^2\newlineg(x)=−x2+4g(x) = -x^2 + 4\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)=3x2f(x) = 3x^2\newlineg(x)=−x2+4g(x) = -x^2 + 4\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Substitute functions into equation: Now we substitute the given functions into the equation. \newlinef(x)=3x2f(x) = 3x^2\newlineg(x)=−x2+4g(x) = -x^2 + 4\newline(f+g)(x)=(3x2)+(−x2+4)(f + g)(x) = (3x^2) + (-x^2 + 4)
  2. Combine like terms: Next, we combine like terms to simplify the expression.\newline(f+g)(x)=3x2−x2+4(f + g)(x) = 3x^2 - x^2 + 4\newline(f+g)(x)=(3x2−x2)+4(f + g)(x) = (3x^2 - x^2) + 4\newline(f+g)(x)=2x2+4(f + g)(x) = 2x^2 + 4

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