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

question 157

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.
- $f ( x ) = \sqrt { x + 5 } , x \geq - 5$

• A) \(f ^ { - 1 } ( x ) = x ^ { 2 } + 5 , x \geq 0\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 5 , \mathrm { x } \geq 0\)
• C) \(f ^ { - 1 } ( x ) = x ^ { 2 } + 5 , x \geq 0\)
• D) \(f ^ { - 1 } ( x ) = - x ^ { 2 } + 5 , x \leq 0\)

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Definitions:

Representative Sample

A sample that closely mirrors the characteristics of the population from which it is drawn, ensuring the results of a study can be generalized.

Random Sample

A sample selected in such a manner that each member of the population has an equal chance of being included, ensuring the generalizability of results.

Cross Cultural Sample

A selection of research subjects drawn from multiple cultures intended to analyze how cultural contexts influence behaviors, beliefs, or other phenomena.

Statistical Inference

The process of drawing conclusions about populations or scientific truths from data subject to random variation.