A One-To-One Function F Is Given $\text { Find } \mathrm { f } ^ { - 1 } ( \mathrm { x } )$

question 5

Multiple Choice

A one-to-one function f is given. $\text { Find } \mathrm { f } ^ { - 1 } ( \mathrm { x } )$ and graph fwith a solid line and $f ^ { - 1 } ( x )$ with a dotted line on the same axes.
- $f ( x ) = \frac { 4 } { x } , x \geq 0$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 4 } { \mathrm { x } } , \mathrm { x } \leq 0\)
• B) \(f ^ { - 1 } ( x ) = \frac { 4 } { x } , x \geq 0 ; f ( x ) = f ^ { - 1 } ( x )\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { 4 } { \mathrm { x } } , \mathrm { x } \geq 0\)
• D) \(f ^ { - 1 } ( x ) = - \frac { 4 } { x } , x \leq 0\)

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Definitions:

Organization

The arrangement of elements and resources in a structured and coordinated manner to achieve desired objectives.

Reproduction

The biological process by which new individual organisms are produced from their parents.

Growth

The process of increasing in size, a vital process of living organisms and cells.

Positive-Feedback Mechanisms

Biological processes in which a change leads to an even greater change in the same direction, often leading to a rapid completion of the process.