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What is (f+g)(x)(f + g)(x)?\newlinef(x)=5x+2f(x) = 5x + 2\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)=5x+2f(x) = 5x + 2\newlineg(x)=2x2g(x) = 2x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=5x+2f(x) = 5x + 2\newlineg(x)=2x2g(x) = 2x^2\newlineNow, let's add these two functions to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(5x+2)+(2x2)(f + g)(x) = (5x + 2) + (2x^2)
  2. Addition of Functions: Next, we combine like terms. Since there are no like terms to combine (as 5x5x and 2x22x^2 are not like terms), we simply write the expression as it is.\newline(f+g)(x)=2x2+5x+2(f + g)(x) = 2x^2 + 5x + 2

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