Write the Word or Phrase That Best Completes Each Statement

question 227

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days. $\begin{array}{r|rrrrr}\mathrm{x} & 86,400 & 172,800 & 259,200 & 345,600 & 432,000 \\\hline \mathrm{f}(\mathrm{x}) & 24 & 48 & 72 & 96 & 120\end{array}$

$\begin{array}{r|rrrrr}\mathrm{x} & 24 & 48 & 72 & 96 & 120 \\\hline \mathrm{g}(\mathrm{x}) & 1 & 2 & 3 & 4 & 5\end{array}$

Express $\left( \mathrm { f } ^ { - 1 } \mathrm { gg } ^ { - 1 } \right) ( \mathrm { x } )$ symbolically.

• A) \(\left( f ^ { - 1 } g ^ { - 1 } \right) ( x ) = \frac { x } { 86,400 }\)
• B) \(\left( f ^ { - 1 } g ^ { - 1 } \right) ( x ) = \frac { x ^ { 2 } } { 86,400 }\)
• C) \(\left( f ^ { - 1 } g ^ { - 1 } \right) ( x ) = 86,400 x\)
• D) \(\left( \mathrm { f } ^ { - 1 } \mathrm { gg } ^ { - 1 } \right) ( \mathrm { x } ) = 86,400 \mathrm { x } ^ { 2 }\)

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Definitions:

Perseveration

The repetitive and continuous focus on a single idea, task, or word beyond the point of relevance, often seen in neurological and psychiatric conditions.

Residential Care

A type of living arrangement where individuals receive accommodation and personal care services, typically for the elderly or disabled.

Tactile Hallucinations

Sensory perceptions of touch or movement on the body with no physical cause, often associated with certain mental health conditions.