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

question 2

Short Answer

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

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Definitions:

Figure

A numerical symbol, especially one that represents a statistic or part of a calculation.

Middle Term

In a syllogism, the middle term is the term that appears in both premises but not in the conclusion, serving as a link between the two other terms.

Major Premise

A primary statement or proposition upon which an argument is based.

Minor Premise

In a syllogism, the premise that provides a specific instance or example related to the major premise.