APFIVE Composition of Exponential and Logarithmic Functions
The functions $$f$$ and $$g$$ are defined by $$f(x) = e^{\frac{x}{2}}$$ and $$g(x) = 8\ln x$$. Which of the following is an expression for the composite function $$h(x) = (f \circ g)(x)$$ for $$x > 0$$?
A
$$\frac{8x}{2}$$
B
$$4\ln x$$
C
$$8e^{\frac{x}{2}}$$
D
$$x^4$$
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