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What is (f−g)(x)(f - g)(x)? \newlinef(x)=−3x2f(x) = -3x^2 \newlineg(x)=−3x+2g(x) = -3x + 2 \newlineWrite your answer as a polynomial or a rational function in simplest form. ‾\underline{\hspace{3cm}}

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Full solution

Q. What is (f−g)(x)(f - g)(x)? \newlinef(x)=−3x2f(x) = -3x^2 \newlineg(x)=−3x+2g(x) = -3x + 2 \newlineWrite your answer as a polynomial or a rational function in simplest form. ‾\underline{\hspace{3cm}}
  1. Subtract and find (f–g)(x)(f – g)(x): Subtract g(x)g(x) from f(x)f(x) 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)=(–3x2)–(–3x+2)(f – g)(x) = (–3x^2) – (–3x + 2)
  2. Simplify expression by distributing: Simplify the expression by distributing the negative sign and combining like terms. \newline(f–g)(x)=–3x2+3x–2(f – g)(x) = –3x^2 + 3x – 2

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