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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=3x+1g(x) = 3x + 1\newline\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline‾\underline{\hspace{3cm}}\newline

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Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=3x+1g(x) = 3x + 1\newline\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline‾\underline{\hspace{3cm}}\newline
  1. Combine Functions: Now, we need to add these functions together to find (f+g)(x)(f + g)(x).(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)(f+g)(x)=(–3x)+(3x+1)(f + g)(x) = (–3x) + (3x + 1)
  2. Simplify Expression: Next, we combine like terms to simplify the expression.\newline(f+g)(x)=−3x+3x+1(f + g)(x) = -3x + 3x + 1\newline(f+g)(x)=0x+1(f + g)(x) = 0x + 1\newline(f+g)(x)=1(f + g)(x) = 1

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