If the function f : [1, ∞) → [1, ∞) is defined by f (x) = 2x (x – 1), then f –1(x) is -

1
\(\left(\frac{1}{2}\right)^{x(x-1)}\)
2
\(\frac{1}{2} (1+\sqrt{1+4 \log_2 x})\)
3
\(\frac{1}{2} (1- \sqrt{1+4 \log_2 x})\)
4
Not defined

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