Find the Domain of Vector Function $\mathbf { r } = \left( \sqrt { t - 2 } , \ln ( 4 - t ) , \frac { t } { \sqrt { t - 3 } } \right)$

Multiple Choice

Find the domain of vector function $\mathbf { r } = \left( \sqrt { t - 2 } , \ln ( 4 - t ) , \frac { t } { \sqrt { t - 3 } } \right)$

A) [3,4]
B) (3,4)
C) (3,4]
D) (2, $\infty$ )
E) [3,4)
F) (- $\infty$ ,4)
G) (3, $\infty$ )
H) [2, $\infty$ )