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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−x2−10xf(x) = -x^2 - 10x\newlineg(x)=−3xg(x) = -3x\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)=−x2−10xf(x) = -x^2 - 10x\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 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 (f∗g)(x)(f * g)(x): We have:\newlinef(x)=−x2−10xf(x) = -x^2 - 10x\newlineg(x)=−3xg(x) = -3x\newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).
  3. Given functions: Multiply the functions.\newline(f∗g)(x)=(−x2−10x)∗(−3x)(f * g)(x) = (-x^2 - 10x) * (-3x)\newline(f∗g)(x)=(−x2∗−3x)+(−10x∗−3x)(f * g)(x) = (-x^2 * -3x) + (-10x * -3x)\newline(f∗g)(x)=3x3+30x2(f * g)(x) = 3x^3 + 30x^2

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