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Derivative of an Inverse Function

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Let ff be a one-to-one function and let gg be its inverse. If f(2)=18f(2) = 18 and f(2)=32f'(2) = 32, what is the value of g(18)g'(18)?

A

3232

B

116\frac{1}{16}

C

132\frac{1}{32}

D

14\frac{1}{4}

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