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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−3x2−5xf(x) = -3x^2 - 5x\newlineg(x)=−2xg(x) = -2x\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)=−3x2−5xf(x) = -3x^2 - 5x\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 product: We have:\newlinef(x)=−3x2−5xf(x) = -3x^2 - 5x\newlineg(x)=−2xg(x) = -2x\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)=(−3x2−5x)∗(−2x)(f * g)(x) = (-3x^2 - 5x) * (-2x)\newline(f∗g)(x)=(−3x2∗−2x)+(−5x∗−2x)(f * g)(x) = (-3x^2 * -2x) + (-5x * -2x)\newline(f∗g)(x)=6x3+10x2(f * g)(x) = 6x^3 + 10x^2

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