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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=xf(x) = x\newlineg(x)=4x+2g(x) = 4x + 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)=xf(x) = x\newlineg(x)=4x+2g(x) = 4x + 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)=xf(x) = x \newlineg(x)=4x+2g(x) = 4x + 2 \newlineNow, calculate the product of f(x)f(x) and g(x)g(x) to find (f∗g)(x)(f * g)(x).\newline(f∗g)(x)=x∗(4x+2)(f * g)(x) = x * (4x + 2)
  3. Distribute terms: Distribute xx across the terms in the parentheses.\newline(f∗g)(x)=x∗4x+x∗2(f * g)(x) = x * 4x + x * 2\newline(f∗g)(x)=4x2+2x(f * g)(x) = 4x^2 + 2x

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