The minimum value of the function

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

The minimum value of the function, f(x)=x3/2+x−3/2−4(x+1x).f(x) = x^{3/2} + x^{-3/2} - 4\left(x + \frac{1}{x}\right). For all permissible real values of xx, is (1) −10-10 (2) −6-6 (3) −7-7 (4) −8-8

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