Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days. $$\begin{array}{l}\begin{array} { r | r r r r r } \mathrm { x } & 86,400 & 172,800 & 259,200 & 345,600 & 432,000 \\\hline \mathrm { f } ( \mathrm { x } ) & 24 & 48 & 72 & 96 & 120\end{array}\\\\\begin{array} { r | r r r r r } \mathrm { x } & 24 & 48 & 72 & 96 & 120 \\\hline \mathrm { g } ( \mathrm { x } ) & 1 & 2 & 3 & 4 & 5\end{array}\end{array}$$ 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) $\left( f ^ { - 1 } \mathrm {~g} ^ { - 1 } \right) ( \mathrm { x } ) = \frac { \mathrm { x } ^ { 2 } } { 86,400 }$
C) $\left( f ^ { - 1 } \mathrm {~g} ^ { - 1 } \right) ( \mathrm { x } ) = 86,400 \mathrm { x }$
D) $\left( \mathrm { f } ^ { - 1 } \mathrm {~g} ^ { - 1 } \right) ( \mathrm { x } ) = 86,400 \mathrm { x } ^ { 2 }$