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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2−3f(x) = 3x^2 - 3\newlineg(x)=2xg(x) = 2x\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)=2xg(x) = 2x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Combine Functions: We have f(x)=3x2−3f(x) = 3x^2 - 3 and g(x)=2xg(x) = 2x. To find (f+g)(x)(f + g)(x), we add f(x)f(x) and g(x)g(x) together:\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(3x2−3)+(2x)(f + g)(x) = (3x^2 - 3) + (2x)
  2. Add Functions: Now, we combine like terms. There are no like terms with 3x23x^2 and −3-3, but we can simply write the 2x2x next to them:\newline(f+g)(x)=3x2+2x−3(f + g)(x) = 3x^2 + 2x - 3\newlineThis is our final answer, as there are no further simplifications possible.

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