If f(x) and g(x) are differentiable functions of x, express the elasticity of h(x) = e^(f(x)g(x)) with respect to x in terms of eˣf and eˣg, which are the elasticities of f(x) and g(x) with respect to x, respectively.
A) eˣᶠ + eˣᵍ
B) eˣᶠ) eˣᵍ
C) eˣᶠ * g(x) + f(x) * eˣᵍ
D) eˣᵍ) eˣᶠ