Write the Word or Phrase That Best Completes Each Statement

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) $\left( \mathrm { f } ^ { - 1 } \mathrm { gg } ^ { - 1 } \right) ( \mathrm { x } ) = 86,400 \mathrm { x } ^ { 2 }$