$$\text { Suppose } g \text { is the inverse function of a differentiable function } f \text { and } G ( x ) = \frac { 1 } { g ( x ) } \text {. }$$

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