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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−x2−10xf(x) = -x^2 - 10x\newlineg(x)=−2xg(x) = -2x\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)=−x2−10xf(x) = -x^2 - 10x\newlineg(x)=−2xg(x) = -2x\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 product 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. Define Functions: We have:\newlinef(x)=−x2−10xf(x) = -x^2 - 10x\newlineg(x)=−2xg(x) = -2x\newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).
  3. Multiply Functions: Multiply the functions.\newline(f∗g)(x)=(−x2−10x)∗(−2x)(f * g)(x) = (-x^2 - 10x) * (-2x)\newline(f∗g)(x)=−x2∗(−2x)−10x∗(−2x)(f * g)(x) = -x^2 * (-2x) - 10x * (-2x)\newline(f∗g)(x)=2x3+20x2(f * g)(x) = 2x^3 + 20x^2

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