The function, f(x) = (3x – 7)x2/3, x $ \in $ R, is increasing for all x lying in :

Question

The function, f(x) = (3x – 7)x^2/3, x $ \in $ R, is increasing for all x lying in :

$\left( { - \infty ,0} \right) \cup \left( {{3 \over 7},\infty } \right)$

$\left( { - \infty ,0} \right) \cup \left( {{{14} \over {15}},\infty } \right)$

$\left( { - \infty ,{{14} \over {15}}} \right)$

$\left( { - \infty ,{{14} \over {15}}} \right) \cup \left( {0,\infty } \right)$

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