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What is (f−g)(x)(f - g)(x)?\newlinef(x)=5xf(x) = 5x\newlineg(x)=4x+5g(x) = 4x + 5\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)=5xf(x) = 5x\newlineg(x)=4x+5g(x) = 4x + 5\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. Given Functions: We have:\newlinef(x)=5xf(x) = 5x\newlineg(x)=4x+5g(x) = 4x + 5\newlineNow, let's find (f−g)(x)(f - g)(x) using the given functions.\newline(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x)\newline(f−g)(x)=5x−(4x+5)(f - g)(x) = 5x - (4x + 5)
  3. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=5x−4x−5(f - g)(x) = 5x - 4x - 5\newline(f−g)(x)=x−5(f - g)(x) = x - 5

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