Find an Equation for the Rational Function Graph $F ( x ) = - \frac { 2 ( x - 3 ) ^ { 2 } + 3 ( x - 3 ) - 5 } { 2 ( x - 3 ) + 30 }$

Multiple Choice

Find an equation for the rational function graph.
-As one approaches a certain sound source, the sound intensity in arbitrary units increases according to the following function of time: $F ( x ) = - \frac { 2 ( x - 3 ) ^ { 2 } + 3 ( x - 3 ) - 5 } { 2 ( x - 3 ) + 30 }$ . Starting at $x = 0$ , wher the source of sound is first sensed, how much time elapses until maximum sound intensity is felt? Round the result to the nearest hundredth.

A) $14.88 \mathrm { sec }$
B) $0.22 \mathrm { sec }$
C) $26.14 \mathrm { sec }$
D) $2.14 \mathrm { sec }$