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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=3xf(x) = 3x\newlineg(x)=5x+6g(x) = 5x + 6\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)=3xf(x) = 3x\newlineg(x)=5x+6g(x) = 5x + 6\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)=3xf(x) = 3x\newlineg(x)=5x+6g(x) = 5x + 6\newlineTo find (f∗g)(x)(f * g)(x), we need to multiply f(x)f(x) by g(x)g(x).\newline(f∗g)(x)=(3x)∗(5x+6)(f * g)(x) = (3x) * (5x + 6)
  3. Multiply f(x)f(x) by g(x)g(x): Distribute 3x3x across the terms in g(x)g(x).\newline(f∗g)(x)=3x∗5x+3x∗6(f * g)(x) = 3x * 5x + 3x * 6
  4. Distribute 3x3x: Perform the multiplication.(f⋅g)(x)=15x2+18x(f \cdot g)(x) = 15x^2 + 18x

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