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Below are the choices that can be found from other sources:
a) -1/25
b) 1/25
c) 1/10
d) 10
e) 25
f(x) = x^3 - 7x^2 + 25x - 39
f'(x) = 3x^2 - 14x + 25
Since g is the inverse function of f
f(g(x)) = x
Differentiate both sides of equation
f'(g(x)) g'(x) = 1
Now f(3) = 0, so g(0) = 3
g'(x) = 1 / f'(g(x))
g'(0) = 1 / f'(g(0))
g'(0) = 1 / f'(3)
g'(0) = 1 / 10
