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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−4x+3f(x) = -4x + 3\newlineg(x)=−2x2g(x) = -2x^2\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)=−4x+3f(x) = -4x + 3\newlineg(x)=−2x2g(x) = -2x^2\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. Calculate product: We have:\newlinef(x)=−4x+3f(x) = -4x + 3\newlineg(x)=−2x2g(x) = -2x^2\newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).\newline(f∗g)(x)=(−4x+3)∗(−2x2)(f * g)(x) = (-4x + 3) * (-2x^2)
  3. Distribute terms: Distribute each term in the first polynomial over the second polynomial.\newline(f∗g)(x)=(−4x)(−2x2)+(3)(−2x2)(f * g)(x) = (-4x)(-2x^2) + (3)(-2x^2)\newline(f∗g)(x)=8x3−6x2(f * g)(x) = 8x^3 - 6x^2

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