Let $\mathbf { r } ( t ) = \left\{ \sqrt { 2 - t } , \frac { \left( e ^ { t } - 2 \right) } { t } , \ln ( t + 1 ) \right\}$

question 144

Multiple Choice

Let $\mathbf { r } ( t ) = \left\{ \sqrt { 2 - t } , \frac { \left( e ^ { t } - 2 \right) } { t } , \ln ( t + 1 ) \right\}$
Find the domain of $r$ .

• A) \(( - 1,0 ) \cup ( 0,2 ]\)
• B) \(( 2 , \infty ]\)
• C) \([ 2,0 ) \cup ( 0,2 )\)
• D) \(( - \infty , - 1 )\)
• E) \(( - 1,2 ]\)

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