jee-main 2019 Q76

jee-main · India · session2_09apr_shift1 Composite & Inverse Functions Injectivity, Surjectivity, or Bijectivity Classification

If the function $f : R - \{ 1 , - 1 \} \rightarrow A$ defined by $f ( x ) = \frac { x ^ { 2 } } { 1 - x ^ { 2 } }$, is surjective, then $A$ is equal to
(1) $[ 0 , \infty )$
(2) $R - \{ - 1 \}$
(3) $R - [ - 1,0 )$
(4) $R - ( - 1,0 )$

If the function $f : R - \{ 1 , - 1 \} \rightarrow A$ defined by $f ( x ) = \frac { x ^ { 2 } } { 1 - x ^ { 2 } }$, is surjective, then $A$ is equal to\\
(1) $[ 0 , \infty )$\\
(2) $R - \{ - 1 \}$\\
(3) $R - [ - 1,0 )$\\
(4) $R - ( - 1,0 )$

Paper Questions

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