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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−5x+3f(x) = -5x + 3\newlineg(x)=−3xg(x) = -3x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

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Q. What is (f−g)(x)(f - g)(x)?\newlinef(x)=−5x+3f(x) = -5x + 3\newlineg(x)=−3xg(x) = -3x\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 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. Substitute Given Functions: We have: \newlinef(x)=−5x+3f(x) = -5x + 3 \newlineg(x)=−3xg(x) = -3x \newlineNow, let's find the expression for (f−g)(x)(f - g)(x) by substituting the given functions.\newline(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x)\newline(f−g)(x)=(−5x+3)−(−3x)(f - g)(x) = (-5x + 3) - (-3x)
  3. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=−5x+3+3x(f - g)(x) = -5x + 3 + 3x\newline(f−g)(x)=−2x+3(f - g)(x) = -2x + 3

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