Find the domain of the vector function $\mathbf { r } ( t ) = \left\langle 8 \sqrt { t } , \frac { 1 } { t - 9 } , \ln t \right\rangle$
A) $( 0,9 ) \cup ( 9 , \infty )$
B) $[ 0,8 ) \cup ( 8,9 ) \cup ( 9 , \infty )$
C) $( 0,8 ) \cup ( 8 , \infty )$
D) $( 0,8 ) \cup ( 8,9 ) \cup ( 9 , \infty )$

Question

Quizplus · Accepted Answer

The domain of the vector function is the set of all values of $t$ for which the function is defined. The function is defined for all $t > 0$ and $t \neq 9$. Therefore, the domain of the function is $(0, 9) \cup (9, \infty)$.

Find the Domain of the Vector Function r(t)=⟨8t,1t−9,ln⁡t⟩\mathbf { r } ( t ) = \left\langle 8 \sqrt { t } , \frac { 1 } { t - 9 } , \ln t \right\rangler(t)=⟨8t​,t−91​,lnt⟩

Find the Domain of the Vector Function $\mathbf { r } ( t ) = \left\langle 8 \sqrt { t } , \frac { 1 } { t - 9 } , \ln t \right\rangle$