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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−3x2+3f(x) = -3x^2 + 3\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+3f(x) = -3x^2 + 3\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+3f(x) = -3x^2 + 3\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)=(−3x2+3)∗(−2x)(f * g)(x) = (-3x^2 + 3) * (-2x)\newline(f∗g)(x)=−3x2∗(−2x)+3∗(−2x)(f * g)(x) = -3x^2 * (-2x) + 3 * (-2x)\newline(f∗g)(x)=6x3−6x(f * g)(x) = 6x^3 - 6x

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