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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−3x+5f(x) = -3x + 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)=−3x+5f(x) = -3x + 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 difference between f(x)f(x) and g(x)g(x).(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x)
  2. Substitute Functions: We have:\newlinef(x)=−3x+5f(x) = -3x + 5\newlineg(x)=−x2g(x) = -x^2\newlineNow, let's find (f−g)(x)(f - g)(x) by substituting the given functions.\newline(f−g)(x)=(−3x+5)−(−x2)(f - g)(x) = (-3x + 5) - (-x^2)
  3. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=−3x+5+x2(f - g)(x) = -3x + 5 + x^2\newlineSince there are no like terms to combine further, this is the simplified form.

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