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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−4x+6f(x) = -4x + 6\newlineg(x)=2x2g(x) = 2x^2\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)=−4x+6f(x) = -4x + 6\newlineg(x)=2x2g(x) = 2x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Combine like terms: We have f(x)=−4x+6f(x) = -4x + 6 and g(x)=2x2g(x) = 2x^2. To find (f+g)(x)(f + g)(x), we add f(x)f(x) to g(x)g(x):(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)(f+g)(x)=(−4x+6)+(2x2)(f + g)(x) = (-4x + 6) + (2x^2)
  2. Write in standard form: Now, we combine like terms. Since there are no like terms to combine (the terms are of different degrees), we simply write the expression in standard polynomial form, which is usually from highest degree to lowest degree:\newline(f+g)(x)=2x2−4x+6(f + g)(x) = 2x^2 - 4x + 6

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