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:

Required

A term indicating that something is necessary or mandatory within a specific context, such as in design specifications or project requirements.

Hexagon

A six-sided polygon characterized by six angles and six straight sides.

Abbreviation

A shortened form of a word or phrase used to save space and increase clarity in texts and drawings.

Across Flats

A measurement of the distance between two opposite flat surfaces, often used in reference to hexagons or squares.