Could you possibly find the inverse ?

Algebra Level 2

Andrew is currently preparing for a competitive exam but he is stuck on a probem related to inverse functions. He consults his friend who is pretty good at solving mathematical problems but he isn't able to solve it as well. Could you ?

If f(x) = x + Sin x and g is the inverse of f, then the value of g'( (5π / 6) + 1/2 ) is

2(4 - √3) 2(2 - √3) 2(4 + √3) 2(2 + √3)

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