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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2xf(x) = 2x\newlineg(x)=x2+10xg(x) = x^2 + 10x\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)=2xf(x) = 2x\newlineg(x)=x2+10xg(x) = x^2 + 10x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Identify formula: Identify the formula for (f+g)(x)(f + g)(x). The correct formula is (f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x).
  2. Substitute values: We have f(x)=2xf(x) = 2x and g(x)=x2+10xg(x) = x^2 + 10x. Substitute these values into the formula to get (f+g)(x)=2x+(x2+10x)(f + g)(x) = 2x + (x^2 + 10x).
  3. Simplify equation: Simplify the equation (f+g)(x)=2x+(x2+10x)(f + g)(x) = 2x + (x^2 + 10x) to find (f+g)(x)(f + g)(x).
    (f+g)(x)=2x+x2+10x(f + g)(x) = 2x + x^2 + 10x
    Combine like terms to get the polynomial in standard form.
    (f+g)(x)=x2+(2x+10x)(f + g)(x) = x^2 + (2x + 10x)
    (f+g)(x)=x2+12x(f + g)(x) = x^2 + 12x

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