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What is (f+g)(x)(f + g)(x)?\newlinef(x)=5x+5f(x) = 5x + 5\newlineg(x)=−x2g(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)=5x+5f(x) = 5x + 5\newlineg(x)=−x2g(x) = -x^2\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).(f+g)(x)(f + g)(x) is the sum of f(x)f(x) and g(x)g(x).(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)
  2. Calculate Sum: We have: \newlinef(x)=5x+5f(x) = 5x + 5 \newlineg(x)=−x2g(x) = -x^2 \newlineNow, let's find (f+g)(x)(f + g)(x) by adding f(x)f(x) and g(x)g(x) together.\newline(f+g)(x)=(5x+5)+(−x2)(f + g)(x) = (5x + 5) + (-x^2)
  3. Combine Terms: Combine the like terms to simplify the expression.\newlineSince there are no like terms to combine in this case, we simply write the expression in standard polynomial form, which is to have the terms in descending order of the exponents.\newline(f+g)(x)=−x2+5x+5(f + g)(x) = -x^2 + 5x + 5

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