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What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2f(x) = x^2\newlineg(x)=x+2g(x) = x + 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)=x2f(x) = x^2\newlineg(x)=x+2g(x) = x + 2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Define Functions: We have f(x)=x2f(x) = x^2 and g(x)=x+2g(x) = x + 2. To find (f+g)(x)(f + g)(x), we add these two functions together.(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)(f+g)(x)=x2+(x+2)(f + g)(x) = x^2 + (x + 2)
  2. Add Functions: Now, we simplify the expression by combining like terms.\newline(f+g)(x)=x2+x+2(f + g)(x) = x^2 + x + 2\newlineThere are no like terms to combine further, so this is the simplest form.

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