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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=xf(x) = x\newlineg(x)=3x+1g(x) = 3x + 1\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)=3x+1g(x) = 3x + 1\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. Given Functions: We have: \newlinef(x)=xf(x) = x \newlineg(x)=3x+1g(x) = 3x + 1 \newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).\newline(f∗g)(x)=x∗(3x+1)(f * g)(x) = x * (3x + 1)
  3. Multiply Functions: Distribute xx across the terms in the parentheses.\newline(f∗g)(x)=x∗3x+x∗1(f * g)(x) = x * 3x + x * 1\newline(f∗g)(x)=3x2+x(f * g)(x) = 3x^2 + x

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