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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=5xf(x) = 5x\newlineg(x)=x+6g(x) = x + 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)=5xf(x) = 5x\newlineg(x)=x+6g(x) = x + 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 and g: We have:\newlinef(x) = 5x5x\newlineg(x) = x+6x + 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)=5x∗(x+6)(f * g)(x) = 5x * (x + 6)
  3. Multiply f and g: Distribute 5x5x across the terms in the parentheses.\newline(f∗g)(x)=5x∗x+5x∗6(f * g)(x) = 5x * x + 5x * 6
  4. Distribute 5x5x: Perform the multiplication.(f⋅g)(x)=5x2+30x(f \cdot g)(x) = 5x^2 + 30x

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