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Composition of Logarithmic and Exponential Functions

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Given the functions f(x)=3lnxf(x) = 3\ln x and g(x)=e2xg(x) = e^{2x}, which of the following is an expression for the composite function h(x)=(fg)(x)h(x) = (f \circ g)(x)?

A

ln(3e2x)\ln(3e^{2x})

B

6x6x

C

3e2x3e^{2x}

D

2e3x2e^{3x}

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