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"Suppose f(x) is one-to-one with the following table of values:

x: 0, 1, 2, 3, 4

f(x): 4, 3, 2, 1, 0

f'(x): 1, 2, 3, 4, 0

Let g(x)=f^(-1)(x). Which of the following statements is FALSE?

a) g'(4)=1

b) g(0)=4

c) g'(1)= 1

d) g'(3)= 1/2

e) g'(2)= 1/3