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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=x2−9xg(x) = x^2 - 9x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

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Q. What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=x2−9xg(x) = x^2 - 9x\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. Multiply Functions: We have:\newlinef(x)=−3xf(x) = -3x\newlineg(x)=x2−9xg(x) = x^2 - 9x\newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).\newline(f∗g)(x)=(−3x)∗(x2−9x)(f * g)(x) = (-3x) * (x^2 - 9x)
  3. Distribute −3x-3x: Distribute −3x-3x to each term in the second function.\newline(f∗g)(x)=(−3x)∗x2+(−3x)∗(−9x)(f * g)(x) = (-3x) * x^2 + (-3x) * (-9x)
  4. Perform Multiplication: Perform the multiplication for each term.\newline(f∗g)(x)=−3x3+27x2(f * g)(x) = -3x^3 + 27x^2

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