APFIVE Composition of Logarithmic and Exponential Functions
The function $$f$$ is given by $$f(x) = 3\ln x$$, and the function $$g$$ is given by $$g(x) = e^{2x}$$. If the function $$h$$ is given by $$h(x) = (f \circ g)(x)$$, which of the following is an expression for $$h(x)$$?
A
$$2e^{3x}$$
B
$$\ln(3e^{2x})$$
C
$$6x$$
D
$$3e^{2x}$$
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