The set of all values of k for which ( ^ -1 x)^ 3 + ( ^ -1 x)^ 3 = k ^ 3 , x ℝ, is the interval :

JEE Main 2022 Mathematics question

The set of all values of k for which , x ℝ, is the interval :

Answer: (1)

Let , ), so and . Then at , where f has its minimum,

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Question ID VK-024137