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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−3x2+10xf(x) = -3x^2 + 10x\newlineg(x)=−4xg(x) = -4x\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+10xf(x) = -3x^2 + 10x\newlineg(x)=−4xg(x) = -4x\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)=−3x2+10xf(x) = -3x^2 + 10x\newlineg(x)=−4xg(x) = -4x\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+10x)∗(−4x)(f * g)(x) = (-3x^2 + 10x) * (-4x)\newline(f∗g)(x)=−3x2∗(−4x)+10x∗(−4x)(f * g)(x) = -3x^2 * (-4x) + 10x * (-4x)\newline(f∗g)(x)=12x3−40x2(f * g)(x) = 12x^3 - 40x^2

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