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

question 35

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:

Template Matching

A process in cognitive psychology where a perceived item or stimulus is compared to stored templates or patterns in the mind to recognize and identify it.

Personal Construct Theory

A psychological theory proposing that individuals organize their experiences into a system of personal constructs, which are used to interpret and predict events.

Constructs

Constructs are abstract concepts developed for use in a particular scientific or philosophical context to understand and describe the phenomena of interest.

Impermeable

Something that does not allow fluids or substances to pass through it.