If the function f:[1, ) [1, ) is defined by f (x) = 2 x(x–1) , then f –1 (x) is
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If the function \(f:[1, \infty) \rightarrow[1, \infty)\) is defined by
f (x) = 2x(x–1), then f –1 (x) is
f (x) = 2x(x–1), then f –1 (x) is
- \(\left(\frac{1}{2}\right)^{x(x-1)}\)
- \(\left(\frac{1}{2}\right)\left[1+\sqrt{1+4 \log _{2} \mathrm{x}}\right]\)
- \(\left(\frac{1}{2}\right)\left[1-\sqrt{1+4 \log _{2} \mathrm{x}}\right]\)
- not defined
Answer
(B) ( 1 2 ) [1+ 1+4 _ 2 x ]
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