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Let g be a real-valued differentiable fu...

Let g be a real-valued differentiable function on R such that `g(x) = 3e^(x - 2) + 4 int_2^x sqrt(2t^2 +6t+5) dt AA x in R` and let `g^-1` be the inverse function of g.If `(g^-1)'(3)` is equal to `p/q` where `p and q` are relatively prime, then find `(p + q)`.

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