A) \[\left[ -\frac{\pi }{2},\frac{\pi }{2} \right]\]
B) \[\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\]
C) \[\left( 0,\frac{\pi }{2} \right)\]
D) \[\left[ 0,\frac{\pi }{2} \right)\]
Correct Answer: B
Solution :
For ? 1< x< 1, \[{{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}=2{{\tan }^{-1}}x\] Range of \[f(x)=\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\]. \Co-domain of function = B \[=\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\].You need to login to perform this action.
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