jee-main 2019 Q79

jee-main · India · session2_09apr_shift2 Composite & Inverse Functions Determine Domain or Range of a Composite Function

The domain of the definition of the function $f ( x ) = \frac { 1 } { 4 - x ^ { 2 } } + \log _ { 10 } \left( x ^ { 3 } - x \right)$ is:
(1) $( - 1,0 ) \cup ( 1,2 ) \cup ( 2 , \infty )$
(2) $( 1,2 ) \cup ( 2 , \infty )$
(3) $( - 2 , - 1 ) \cup ( - 1,0 ) \cup ( 2 , \infty )$
(4) $( - 1,0 ) \cup ( 1,2 ) \cup ( 3 , \infty )$

The domain of the definition of the function $f ( x ) = \frac { 1 } { 4 - x ^ { 2 } } + \log _ { 10 } \left( x ^ { 3 } - x \right)$ is:\\
(1) $( - 1,0 ) \cup ( 1,2 ) \cup ( 2 , \infty )$\\
(2) $( 1,2 ) \cup ( 2 , \infty )$\\
(3) $( - 2 , - 1 ) \cup ( - 1,0 ) \cup ( 2 , \infty )$\\
(4) $( - 1,0 ) \cup ( 1,2 ) \cup ( 3 , \infty )$

Paper Questions

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