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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=4xf(x) = 4x\newlineg(x)=x2−6xg(x) = x^2 - 6x\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)=4xf(x) = 4x\newlineg(x)=x2−6xg(x) = x^2 - 6x\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 functions: We have:\newlinef(x)=4xf(x) = 4x\newlineg(x)=x2−6xg(x) = x^2 - 6x\newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).\newline(f∗g)(x)=(4x)∗(x2−6x)(f * g)(x) = (4x) * (x^2 - 6x)
  3. Multiply functions: Distribute 4x4x to each term in the second function.\newline(f∗g)(x)=4x∗x2−4x∗6x(f * g)(x) = 4x * x^2 - 4x * 6x
  4. Distribute terms: Perform the multiplication for each term.\newline(f∗g)(x)=4x3−24x2(f * g)(x) = 4x^3 - 24x^2

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