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📐 Mathematics  ·  Relations and Functions  ·  JEE

The inverse of the bijection f(x) = x³ + 1 on R is:

Answer: (x − 1) 1/3.

  • A (x − 1)<sup>1/3</sup>
  • B (x + 1)<sup>1/3</sup>
  • C x<sup>1/3</sup> − 1
  • D (1 − x)<sup>1/3</sup>

Correct answer: A. (x − 1)<sup>1/3</sup>

Explanation: Solving y = x³ + 1 gives x = (y − 1)<sup>1/3</sup>.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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