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Suppose gg Is the Inverse Function of a Differentiable Function ff And G(x)=1g(x)G ( x ) = \frac { 1 } { g ( x ) }

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Suppose gg is the inverse function of a differentiable function ff and G(x)=1g(x)G ( x ) = \frac { 1 } { g ( x ) } .If f(4)=3f ( 4 ) = 3 and ft(4)=116f ^ { t } ( 4 ) = \frac { 1 } { 16 } , find Gt(3)G ^ {t } ( 3 ) .

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