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[tex](fg)(x) = f(x)\cdot g(x) \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\sqrt{x^2+4} \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\left(x^2+4\right)^{\frac{1}{2}}[/tex]
a)