Find the Domain of the Vector Function $\mathbf { r } ( t ) = \left\langle 9 \sqrt { t } , \frac { 1 } { t - 3 } , \ln t \right)$

Multiple Choice

Find the domain of the vector function $\mathbf { r } ( t ) = \left\langle 9 \sqrt { t } , \frac { 1 } { t - 3 } , \ln t \right)$ .
Select the correct answer.

A) $[ 0,3 ) \cup ( 3,9 ) \cup ( 9 , \infty )$
B) $( 0,3 ) \cup ( 3 , \infty )$
C) $( 0,3 ) \cup ( 3,9 ) \cup ( 9 , \infty )$
D) $( 0,9 ) \cup ( 9 , \infty )$