If the expression is non-negative for all positive real

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If the expression mx−1+1xmx-1+\frac{1}{x} is non-negative for all positive real xx, the minimum value of mm is (1) −12-\frac{1}{2} (2) 00 (3) 14\frac{1}{4} (4) 12\frac{1}{2}

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