Find the domain of the following function :
$f (x) = {log}_{7} {log}_{5} {log}_{3} {log}_{2} (2 x^{3} + 5 x^{2} - 14 x)$

[- 2, - \frac{1}{2}] \cup [4, \infty)

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(- 4, - \frac{1}{2}) \cup (2, \infty)

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(- 2, - \frac{1}{2}) \cup (4, \infty)

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none of these

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Solution

The correct option is B $(- 4, - \frac{1}{2}) \cup (2, \infty)$

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