jee-main 2023 Q76

jee-main · India · session1_29jan_shift1 Composite & Inverse Functions Determine Domain or Range of a Composite Function

The domain of $f ( x ) = \frac { \log _ { ( x + 1 ) } ( x - 2 ) } { e ^ { 2 \log _ { e } x } - ( 2 x + 3 ) } , x \in R$ is
(1) $\mathbb { R } - \{ - 1,3 \}$
(2) $( 2 , \infty ) - \{ 3 \}$
(3) $( - 1 , \infty ) - \{ 3 \}$
(4) $\mathbb { R } - \{ 3 \}$

The domain of $f ( x ) = \frac { \log _ { ( x + 1 ) } ( x - 2 ) } { e ^ { 2 \log _ { e } x } - ( 2 x + 3 ) } , x \in R$ is\\
(1) $\mathbb { R } - \{ - 1,3 \}$\\
(2) $( 2 , \infty ) - \{ 3 \}$\\
(3) $( - 1 , \infty ) - \{ 3 \}$\\
(4) $\mathbb { R } - \{ 3 \}$

Paper Questions

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