APFIVE Composition of Exponential and Logarithmic Functions
The function $$f$$ is given by $$f(x) = e^{3x}$$, and the function $$g$$ is given by $$g(x) = \ln(\sqrt{x})$$. If the function $$h$$ is given by $$h(x) = (f \circ g)(x)$$, which of the following is an expression for $$h(x)$$, for $$x > 0$$?
A
$$e^{3\sqrt{x}}$$
B
$$3\sqrt{x}$$
C
$$x\sqrt{x}$$
D
$$\frac{3\ln x}{2}$$
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