If the range of the function \( f(x)=\tan ^{-1}\left(3 x^{2}+b x+c\right) \) is \( \left[0, \fra...
If the range of the function \( f(x)=\tan ^{-1}\left(3 x^{2}+b x+c\right) \) is \( \left[0, \frac{\pi}{2}\right) \); (domain is \( R \) ), then :
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