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The function, \(f(x)=(3 x-7) x^{2 / 3}, x \in R\), is increasing for all \(x\) lying in: [JEE Main 2020, 3 Sep (Shift 1)…

Q1

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

[JEE Main 2020, 3 Sep (Shift 1)]

a

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

b

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

c

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

d

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

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