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What is (f−g)(x)(f - g)(x)?\newlinef(x)=x+1f(x) = x + 1\newlineg(x)=3x2g(x) = 3x^2\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)=x+1f(x) = x + 1\newlineg(x)=3x2g(x) = 3x^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)=x+1f(x) = x + 1\newlineg(x)=3x2g(x) = 3x^2\newlineSubstitute these functions into the formula for (f−g)(x)(f - g)(x).\newline(f−g)(x)=(x+1)−(3x2)(f - g)(x) = (x + 1) - (3x^2)
  3. Simplify Expression: Simplify the expression by distributing the negative sign to g(x)g(x).(f−g)(x)=x+1−3x2(f - g)(x) = x + 1 - 3x^2
  4. Rearrange Terms: Rearrange the terms in descending order of the power of xx.(f−g)(x)=−3x2+x+1(f - g)(x) = -3x^2 + x + 1

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