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Q.

The Range of the function $\frac{x^{3} - 27}{x - 3}$ is $[m, \infty)$ then 4m is

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answer is 27.

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Detailed Solution

$\frac{x^{3} - 3^{3}}{x - 3} = x^{2} - 3 x + 9 \Rightarrow x^{2} c o e f f > 0$

Min value= m $= \frac{4 a c - b^{2}}{4 a} = \frac{27}{4}$

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The Range of the function x3−27x−3 is [m,∞) then 4m is