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What is (f∗g)(x)(f * g)(x)?\newlinef(x)=4x+3f(x) = 4x + 3\newlineg(x)=x2g(x) = x^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)=4x+3f(x) = 4x + 3\newlineg(x)=x2g(x) = x^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. Find functions: We have: \newlinef(x)=4x+3f(x) = 4x + 3 \newlineg(x)=x2g(x) = x^2 \newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).\newline(f∗g)(x)=(4x+3)∗(x2)(f * g)(x) = (4x + 3) * (x^2)
  3. Distribute terms: Distribute x2x^2 to each term in the polynomial 4x+34x + 3. \newline(f∗g)(x)=4x∗x2+3∗x2(f * g)(x) = 4x * x^2 + 3 * x^2
  4. Perform multiplication: Perform the multiplication for each term.\newline(f∗g)(x)=4x3+3x2(f * g)(x) = 4x^3 + 3x^2

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