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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x2+3f(x) = -3x^2 + 3\newlineg(x)=xg(x) = x\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)=−3x2+3f(x) = -3x^2 + 3\newlineg(x)=xg(x) = x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Combine like terms: Next, we combine like terms. Since there are no other x2x^2 terms or constant terms in g(x)g(x), we simply add the xx term from g(x)g(x) to the expression for f(x)f(x). \newline(f+g)(x)=−3x2+3+x(f + g)(x) = -3x^2 + 3 + x\newlineWe can rearrange the terms to write the polynomial in standard form, which is usually written from the highest degree to the lowest degree.\newline(f+g)(x)=−3x2+x+3(f + g)(x) = -3x^2 + x + 3
  2. Rearrange in standard form: Finally, we check for any possible simplification. In this case, there are no like terms left to combine, so the expression is already in its simplest form.

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