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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−2xf(x) = -2x\newlineg(x)=4x+5g(x) = 4x + 5\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)=4x+5g(x) = 4x + 5\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=−2xf(x) = -2x\newlineg(x)=4x+5g(x) = 4x + 5\newlineNow we will add these two functions together.\newline(f+g)(x)=(−2x)+(4x+5)(f + g)(x) = (-2x) + (4x + 5)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=−2x+4x+5(f + g)(x) = -2x + 4x + 5\newline(f+g)(x)=(4x−2x)+5(f + g)(x) = (4x - 2x) + 5\newline(f+g)(x)=2x+5(f + g)(x) = 2x + 5

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