APFIVE Composition of Exponential and Logarithmic Functions
The function $$f$$ is given by $$f(x) = e^{x-1}$$, and the function $$g$$ is given by $$g(x) = \ln(x) + 1$$. 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
$$\ln(x) + 1$$
B
$$x$$
C
$$e^{\ln(x) + 1}$$
D
$$x - 1$$
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